In APQR, the measure of R=90°, QR = 61 feet, and RP = 90 feet. Find the measure of ZP to the nearest degree. %3D %3D 61 90

Q: Find the missing angle. E C T 140° 450 D ZE

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Q: .Determine the angle 0 in the design of the streetlight shown in the figure, where x = 1.9. (Round…

A: We use Cosine formula to calculate the angle θ.

Q: A surveyor is standing 50 feet from the base of te tree. The surveyor measures the angle of…

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Q: Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and…

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Q: Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30°.…

A: Given  Brandon sights a helicopter above a building and  building is 200 feet away at an angle of…

Q: The length of the shadow of a building 34.09 m tall is 37.62 m. Find the angle of elevation of the…

A: Let's sketch the figure for this case:                                            Length of the…

Q: Determine two coterminal angles one positive and one negative for each angle. Give your answers in…

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Q: Find the reference angle for the angle 265°

A: Let θ=265°Since , 180°<265°<270°So , the angle lies in Quadrant IIIHence , the reference…

Q: . A hiker (1.7 m tall) measures her distance to the foot of a Sequoia tree to be 25 meters. She also…

A: In our question given that a hilker measure her distance to be 25 meter. She also measures the angle…

Q: From a tower 150 feet high with the sun directly overhead, an airplane and its shadow have an angle…

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Q: A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is the…

A: Draw the diagram from the given information.

Q: A ship's sonar locates wreckage at a 15 degrees angle of depression below the water, as pictured. A…

A: Given: A ship sonar locates wreckage at a 15° angle of depression below the waterA diver is lowered…

Q: Find x, the angle of depression from the top of a lighthouse that is 187 ft above water level to the…

A: Angle of depression is 9.6°

Q: Consider a ziprider having a zip line of length 5249 t and its vertical drop as 1234 ft. Find its…

A: The ziprider having a length of 5249 ft and its vertical drop is 1234 ft. Let θ be the angle of…

Q: . A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7°. How high is…

A: Length of shadow=18ft Angle of elevation=33.7 degree

Q: Find the reference angle for the angle 355°

A:

Q: A building that is 360 feet tall casts a shadow 60 feet long. What is the angle of elevation of the…

A:

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2.2. (Round…

A: Given: The diagram of streetlight.

Q: A 20-foot ladder leaning against a wall forms an angle of 46° with the ground. How far up the side…

A: ladder length=20 footwe know-sin θ=xladder

Q: A flagpole casts a shadow that is 15 feet long. The angle of elevation of the sun at this time is 40…

A: Drawing a figure to represent the given data will simplify the question for us. After that we will…

Q: Find the reference angle 4) 本) 250° A) 70° B) 55° D) 80° C) 85°

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Q: _2. What is the angle of elevation in the figure? А. LA В. 2В C. 2C 15° D. 2X 2 miles 15°

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the angle in degrees,

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Q: You are standing 15 feet away from a tree, and you measure the angle of elevation to be 35∘. How…

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Q: From the top of a 215-meter-tall building, an observer measures the angle of depression of a bicycle…

A: Use trigonometric ratio to solve it.

Q: the length of the shadow of a building 34.09m tall is 37.62m. Find the angle of elevation of the sun…

A:

Q: Determine the value of angle A that corresponds to sec LA=1.3051. Round the answer to the nearest…

A: Given that Sec(A)=1.3051 We have to find the value of angle A.

Q: A 109 ft. tree casts a shadow that is 130 ft. long. What is the angle of elevation of the sun? 60°…

A:

Q: The diameter of a circle is 8 kilometers. What is the angle measure of an arc 3x kilometers long?…

A: The given graph is: The given diameter of the circle is 8 kilometers. Calculate the angle measure…

Q: At 9 AM on April 3, 1997, a building 300 feet high casts a shadow 50 feet long. What was the…

A: The height of the building is 300 , the height of the shadow is 50 and the angle A is the angle of…

Q: The angle relationship between ZDEC and ZBEC is

A: Option A is correct. Two angles are called supplementary when their measures add up to 180 degrees.…

Q: From the top of a lighthouse 96 feet high, the angle of depression to a small boat is 37.1658°. How…

A: Follow the procedure given below.

Q: A surveyor set up his instrument at A and measured the angle of elevation of the top of a tower and…

A:

Q: The height of an inaccessible cliff needs to be calculated. From a boat, which is 187 meters out…

A:

Q: A building 34.65 feet tall has a shadow that is 38.65 feet long. Find the angle of elevation of the…

A:

Q: 27 31

A: Cosx = adjacent/hypotenuse Cosx = 27/31 x= cos^-1(0.8709) x = 29.42°

Q: The angle of elevation from level ground to the top of a building 12m away is 38 degrees. How tall…

A: We have to find the height of the building.  For this we can take tan(38) in given triangle

Q: A surveyor measured the angle of elevation of a flat spire as 15° from a point on horizontal ground.…

A: Let the height of the spire is the measurement of a line segment which is normal to the horizontal…

Q: In ATUV, the measure of ZV=90°, VT = 51 feet, and TU = 95 feet. Find the measure of ZT to the…

A: IN given △TUV, the measure of ∠V = 90° , VT=51 feet  and  TU=95 feet If ∠T = x°, Then  cosx = 5195…

Q: Find the reference angle of 35 degrees

A: Let, the given angle          θ = 35°Reference angle is always the smallest angle thatwe can make…

Q: building that is 280 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: In AUVW, the measure of ZW=90°, VW = 15 feet, and UV = 91 feet. Find the measure of ZU to the…

A: We know, trigonometric ratio of sine function in a right triangle is given by:…

Q: From the 108 meters lighthouse, the angle of depression of a boat at sea is 27 degrees. Find the…

A:

Q: Determine the angle 0 in the design of the streetlight shown in the figure, where x = 2.3. (Round…

A: To find θ

Q: A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: Given problem:- A radio transmission tower is 535 feet tall. A guy wire is to be attached 6 feet…

Q: A 16 foot ladder leaning against a wall of a house makes a 50° angle with the ground. How far up the…

A:

Q: Given the right triangle shown below with side lengths a = 11,b = 5, and c = V146, find the angles A…

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Q: Find the reference angle for the angle 205°

A: Given: 205°

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.