A 13-ft ladder leaning against a house makes a 52° angle with the ground. Will the ladder reach a window sill that is 9.7ft up from the base of the house? Round to 1 decimal place.      The top of the ladder reaches the house approximately    ft above ground level.

Q: 3π Suppose that cota = 37 and <α<2π. 2 2 Find the exact values of sin 82 α and tan 2' Sin B 2 tan α…

A:

Q: The angle of elevation to the top of a building changes from 25 degrees to 29 degrees as an observer…

A: Step 1: Step 2: Step 3: Step 4:

Q: Express as a product. 2π 2π sin (a - -) - sin (a + 3 3 -)

A: given expression

Q: Simplify expression by using a double-angle formula. 1-2 sin 20 П ☐ sin ☐ Π ☐ SOɔ ☐ ☐ cot ☐ Osec☐ ☐…

A:

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Group Problem The diagonals of a parallelogram are 14m and 16m, and intersect at a 60°. Find the…

A: For a parallelogram the two opposite sides are equal.The angles formed by the diagonals of the…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Express as a product. 2 1-2 cos a

A: 1 − 2cos2(α) can be expressed as −cos(2α).Explanation:To express 1−2cos2(α) as a product, you can…

Q: Consider a triangle ABC like the one below. Suppose that A = 33°, B = 49°, and c = 61. (The figure…

A:

Q: how do i solve

A: In the given problem, we have a diagram for a triangleGiven:∠BAC=82°∠ABC=52°AB=100ftIn the given, we…

Q: Convert the polar equation to a rectangular equation. Then use a rectangular coordinate system to…

A: Given the polar equation,θ=23π​ Converting the polar equation to rectangular equation. Take note…

Q: What is the length of line BA? (round to two decimal places) C B b 165 ft Line BA = feet A 25°

A: Step 1:Given triangle:We have to find the length of the line BA.Step 2:Redraw the given triangle:…

Q: Calculate 96√3 sin π πT π π πT COS COS COS COS 48 48 24 12 6

A: 96√3sin(π/48)cos(π/48)cos(π/24)cos(π/12)cos(π/6)

Q: Given AABC with the following measurements: a 18 mm, b = 24 mm, ZC = 51° find side c (round your…

A: Let's draw the figure:We will use cosine law:Side a and b are known to be 18 and 24. the angle is 51…

Q: 2. Find the exact value of tan 30° (6sin 135 +4 cos 210'), giving your answer in the form a+b√6.

A:

Q: For a given location, the daily number of sunlight hours fluctuates throughout the year. Suppose…

A: The objective of the question is to find the maximum number of hours of sunlight in a day, the…

Q: Two planks of length 1m and 1.2m,lean against each other.if the angle between the planks is 36°, how…

A: Basic approach Solution

Q: how do i solve

A: For the given triangle:Recall the Law of Sines:asinA​=bsinB​=csinC​ The given triangle is:Notice…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Given:A=38°a=h=14Formula:Area= 1/2 x b x hlet's find the btanA= a/btan38°= 14/bcross…

Q: Below is a red vector of magnitude 42 and a blue vector of magnitude 37 (pretend they are…

A:

Q: Identify the point with the given polar coordinates. (3,135°) Choose the correct graph below. ○ A.…

A:

Q: e following graph shows the arc of a basketball player's shot after it is released. ht Height (feet)…

A:

Q: 10. A steering tie-rod bushing with a length of 1.50 inches has a taper with an included angle of 7…

A: The large ID of the taper is approximately 1.15 inches.Explanation:

Q: x is an acute angle. Find the value of x in degrees. tan(x)=0.4

A: The objective of the question is to find the value of an acute angle x, given that the tangent of x…

Q: Find the exact value of the following, without using a calculator. 1 sin (sin()+tan (-3)) 2

A: The objective of the question is to find the exact value of the expression sin(sin(1)) + tan(-3)…

Q: In a lateral face of a regular square pyramid, an altitude is drawn from a base vertex to the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Express as a product. sin (a- - 2π 3 - -) − sin (a + - 2π 3

A: The given expression can be expressed as a product :     sin(α−32π​)−sin(α+32π​)…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Step 1: Step 2: Step 3:

Q: Draw the vector in standard position using the vector tool. Find the magnitude and direction angle…

A:

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos (s - t). 4…

A:

Q: solve 4sin^2x+4coscos(x)-5=0 in the interval (0°, 360°]

A: Step 1: Step 2:

Q: What is the length of line AB? (whole number) A B Line AB =120 200 ft 160 ft feet

A: The given triangle ABC is a right triangle. By Pythagoras theorem, we have:AB2 + BC2 = AC2Since BC =…

Q: Evaluate. cos 2a if sin 3α = 2 sin a α

A: Answer The value of  cos(2α)=1   or   cos(2α)=21​Explanation:  Step 1: We have given…

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: Step 1:Step 2:​In △ABCArea of Δ=21​⋅AC⋅BC⋅sinCArea of Δ=21​⋅13⋅8⋅sin(46∘)Area of Δ=52sin(46∘)Area of…

Q: Find the length of the unknown side, x, in the diagram shown. Give your answer to one decimal place.

A:

Q: 1 The solutions of the trigonometric equation sinr = are: sinx O O O O A. x = =3+ 2k, for every…

A: Step 1:​sinx=sinx1​​Step 2:​sinx⋅sinx=1sin2x=1sinx=−1,1sinx=−1⇒x=2kπ+23π​, for every integer value…

Q: A dog runs 250 feet south, then turns and runs at an angle of 25° west of south for 252 feet. What…

A: The figure

Q: recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant…

A: The objective of this question is to find the point of intersection between a line and a circle in…

Q: 5. A golf ball has a diameter of 3.8 cm. How much empty space is there, in a cylindrical can that…

A: Volume of empty space is about 8.7663 in.3 Note: since there is no indication as to how many decimal…

Q: Test for symmetry and then graph the polar equation. r=4-4 cos 0 a. Is the graph of the polar…

A:

Q: Consider a triangle  ABC  like the one below. Suppose that  b=24,   c=37,  and  B=111° .…

A: Given:b=24c=37B=111°Let's find C using law of sinesb/sinB = c/sinC24/sin111 = 37/sinCcross…

Q: Example 2: Write an equation for sine and cosine for the graph below. 9T1/4 5π/2 11/4 3TT 13/4 7/2…

A: The cosine function AmplitudePhase shiftVertical shift is time period

Q: As shown in the figure below, Linda is standing 34 feet from the base of a leaning tree. The length…

A: From the given information we can form this triangle: where AC is the length of the tree and BC is…

Q: 2.4 = √(2.4 sin 02) + (2.4 cos 02) Solve for 0 in Degrees

A: To solve the equation 2.4=(2.4sin2⁡(θ))+(2.4cos2⁡(θ)) for θ in degrees, we'll follow these steps:1.…

Q: how do i solve

A:

Q: H. You own a bakery that produces two types of cakes: chocolate cakes and vanilla cakes. You need to…

A: To maximize profit, we need to determine the number of chocolate cakes and vanilla cakes to produce…

Q: 2x HIN 2 3x 5x 6 The graph of a polar equation is given. Select I the polar equation for the graph.…

A: Step 1: Let write the given.We are given a graph of a certain polar curve. Step 2: Let write what we…

Q: Question 7 Below is a graph with two vectors shown on it. Add them, and then draw the resultant…

A:

Q: A battleship, B, detected a submarine, A, on a bearing of 050° and at a distance of 8 km. A cargo…

A: We are given the following information:AB = 8 km (distance between the battleship and the…

Q: 11.2

A: