In AFGH, the measure of ZH=90°, the measure of ZF=18°, and GH = 9.4 feet. Find the length of HF to the nearest tenth of a foot.

Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: The radius of a circle is 4 centimeters. What is the length of an arc that subtends an angle of…

A: Length of arc is 28π9 cm

Q: If a 20-foot ladder makes a 65. angle with the ground, how many feet up a wall will it reach? Round…

A: We can easily found height of wall it will reach by ladder by using sine of angle .

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: An 85-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Convert the angle in degrees to radians. Express the answer as multiple of . 60°

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Q: A person standing 364 feet from the base of a church observed the angle of elevation to the church's…

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Q: If the angle of elevation of the sun is 73° 30', how tall is a post that casts a shadow 1.9 feet…

A: Given : The angle of elevation of the sun is 73°30', and shadow 1.9 feet long.    θ = 73°30' = 73° +…

Q: A man standing near a building notices that the angle of elevation to the top of the building is…

A: answer is in next step

Q: Find the measure of an arc in radians if the radius of the arc is 6.1 cm and the length of the arc…

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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: The hypotenuse of a right triangle is 5 units and one angle is 0.6 radian. Determine the length of…

A: Given:           Length of hypotenuse = 5 units.One angle is 0.6 radians.

Q: In ATUV, the measure of V=9o°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ZT to the…

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Q: A lamppost casts a shadow of 18 ft when the angle lamppost? Round to the nearest foot.

A: Explanation and solution is given below....

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

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Q: A 50foot tall building has a shadow that is 5 feet long. What is the angle of elevation of the sun?…

A: Given, Height of building is 50 foot. Length of shadow is 5 feet. To find: Angle of elevation of the…

Q: the acute angle (in radians) between the two straight lines y=3x +2 and y=4x+7 is closest to what…

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Q: A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the…

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Q: В C 1 unit A

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Q: How high is the building whose horizontal shadow is 60 meters when the angle of elevation of the sun…

A: The building whose horizontal shadow is 60 meters when the angle of elevation of the sun is 58°12'

Q: If the angle of elevation of the sun is 70° 30', how tall is a post that casts a shadow 1.4 feet…

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Q: Find the acute angle measure, to the nearest degree. V 14

A: We use Trigonometry ratios

Q: What is the meaning of “an angle with measure 2 radians”?

A: Our Aim is to tell the meaning of "an angle with measure 2 radians".

Q: From the top of a 72-m lighthouse, the angle of depression to a ship in the ocean is 21°. How far is…

A: Given the top of a 72 m and the angle of depression to a ship in the ocean is 21°. We have to find…

Q: Find the reference angle for 510°. JT olo

A: Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. In other…

Q: the recomended safety angle of a ladder against a building is 76 degrees. A 10-m ladder will be…

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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: : Find the measure of the central angle if the arc length is 83.75 inches and the radius is 15…

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Q: Find the measure of an arc in radians if the radius of the arc is 2.3 inches and the length of the…

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Q: An airplane needs to head due north, but there is a wind blowing from the northwest at 80 (km)/(hr.)…

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Q: From the top of a tower 23 m high, a princess looks down at an angle of depression of 70 degrees.…

A: here we need to find the distance bc and ac. the solutio is following.

Q: A geologist measured the angle of elevation to the top of a mountain to be 39°. From a point 200…

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Q: A large totem pole in the state of Washington is 100 feet tall. At a particular time of day, the…

A: From the given figure:     Corresponding to ∠A.   BC=Perpendicular=100ftAC=Base=249ftAB=Hypotenuse…

Q: The radius of a circle is 13.2 inches. Find the length of an arc of the circle intercepted by a…

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Q: Express the angle as a decimal, to the nearest ten-thousandth of a degree.

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Q: The angle of elevation to a nearby tree from a point on the ground is measured to be 64°. How tall…

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

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Q: Find the reference angle for 576°. JT ?

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Q: A 60-foot zip line from a tree to the ground forms a 45° angle of elevation from the ground. How…

A: According to the question,   Draw the diagram of the given situation,   Let x = the height of the…

Q: A 84-ft tree casts a shadow that is 140 ft long. What is the angle of elevation of the sun? (Round…

A:

Q: The diagram shows A PST. 51° 6 56% 11 T According to the labeled measurements, which triangle MUST…

A: Given,

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: Convert the angle in degrees to radians. Express the answer as multiple of n. 144°

A:

Q: What is the distance of AC to the nearest meter?

A: Given that: A triangle ABC such that ∠A=85°,∠B=65° and AB=400m

Q: How tall is a building that casts a 75​-ft shadow when the angle of elevation of the sun is 35°​?

A: height of building =?

Q: If the angle of elevation of the sun is 75° 30', how tall is a post that casts a shadow 1.1 feet…

A: 30' = 0.5 degree

Q: When a 10-foot tall flagpole casts a 9-foot shadow, what is the angle of elevation of the sun? If…

A:

Q: Find x, the angle of depression from the top of a lighthouse that is 151 ft above water level to the…

A:

Q: If the angle of elevation of the sun is 74° 30', how tall is a post that casts a shadow 1.6 feet…

A: Given that:

Q: Draw a triangle that would be used together with the substitution x = 3 sec θ.

A:

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.