In ANOP, the measure of ZP=90°, the measure of ZN=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.

Q: In the evening, a tree that stands 12 ft tall casts a long shadow. If the angle of depression from…

A: Since, it is given that in the evening a 12 ft tall tree cast a long shadow,Also, it is given that…

Q: From a point on the ground 12 feet from the base of a flagpole, the angle of elevation to the top of…

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Q: A 300 meter cable wire is attached to the top of a tower from the ground. The angle of elevation to…

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

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Q: Find the angle in degrees

A: as we can see from the figure, the radius of the circle is 4 units so take

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: Find x. Round angle measures to the nearest degree and side measures to the nearest tenth

A: Given ,  A triangle two sides and one angle . We have to find x°  Use the law of sines  sinA / a =…

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

A:

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: 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: 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 the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

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Q: Solve triangle with a = 3, b = 3, c = 3. Round lengths to the nearest tenth and angle measures to…

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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: Find the smallest angle, in radians to 2 decimal places, in a right-angled triangle with longest…

A: Given right angle triangle so use Pythagoras theorem  to find the third side.. Then  infront of…

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: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

Q: The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is the…

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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: Find the acute angle measure, to the nearest degree. W 14 m2U =

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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…

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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: A person standing 376 feet from the base of a church observed the angle of elevation to the church's…

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Q: A geodetic engineer is 80 meters from the base of a dam. The angle of elevation to the top of the…

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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: At 0900H, Arthur cast a shadow of 185cm when the angle of elevation of the Sun that time is 30…

A: Angle of elevation is 30°. Length of shadow of Arthur is 185 cm Let the height of Arthur is h cm

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: From a point of observation 135 meters from the base of a building, the angle of elevation to its…

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Q: The latitude of Goose Pimple Junction, Virginia, is 36.597 0. Find the shadow anglefor a sundial in…

A: Definition used -        Shadow angle -                               tanθ=sinα×tan(t(15°))…

Q: From the top of a 200 meters high building, the angle of depression to the bottom of a second…

A: Given- From the top of 200 m high building, the angle of depression to the bottom of a second high…

Q: Find the smallest angle in the right triangle with a hypotenuse of length 175 and a leg of length…

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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: A building that is 210 feet tall casts a shadow 70 feet long. What is the angle of elevation of the…

A: From the given problem the represented diagram is as shown below. Let the angle of elevation of the…

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: Find the reference angle for 576°. JT ?

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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: In the evening, a tree that stands 12 ft tall casts a shadow. If the angle of depression from the…

A: Consider the provided information, The graph is shown below, Find the length of the shadow.

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: The windshield wiper blade on Julia's car is 21 inches long. Each swipe of the wiper makes an angle…

A: θ=lr Where l is length of arc and r is radius.

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

A:

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

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Q: In the figure, a person standing at point A notices that the angle of elevation to the top of the…

A: 1°=60'Therefore, 48°30'=48.5°44°10'=44.167°

Q: A person standing 239 feet from the base of a church observed the angle of elevation to the church's…

A: Angle of elevation = 44°  Distance from the base of church = 239 feet. Height of church =?

Q: The minute hand on a clock rotates through _______ degrees between 2:11pm and 3:12 pm?

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.