The Statue of Liberty is about 151 feet tall. If the angle of elevation from a tree in Liberty State Park to the statue's top is 5.5°, how far is the tree from the base of statue? 1575 ft 15 ft O 152 ft O 1568 ft

Q: The angle of elevation of a pedestrian crosswalk over a busy highway is 9.34°​,as shown in the…

A: The solution is:

Q: A triangular lot has sides 1,460 ft, 2,740 ft, and 1,720 ft long. Find its largest angle in degrees.…

A: We use Cosines and sines formula.

Q: From the top of an incline road, 256 feet long, a vertical tower at the bottom subtends an angle of…

A:

Q: A lighthouse is 20 feet tall, and a boat is 50 feet from the base of the lighthouse. What is the…

A:

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: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: A is located 250 ft from a building. From a window in the building, a person determines that the…

A:

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 campsite is 8.51 miles from a point directly below the mountain top. If the angle of elevation is…

A:

Q: A 18-ft ladder leans against a building so that the angle between the ground and the ladder is 72°.…

A: perpendicular/hypotenuse=sin(angle)

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

A:

Q: A person 100 meters from the base of a tree, observes that the angle between the ground and the top…

A: Given: The distance between the base of a tree and person is 100 meters. Angle  between the ground…

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: The radian measure of an angle of 22 degrees is?

A:

Q: A tree casts a shadow of 14.7 meters when the angle of elevation of the sun is 13.1 degrees. How…

A: A tree shadow of 14.7 meters  angleof elevation of the sun is 13.1 degrees. To find :- Height of a…

Q: If you stand 25 feet from the base of a tree on level ground and the angle from ground to the top of…

A: Given information: Consider AB is the height of the tree, and BC is the distance from the base of…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

A:

Q: 7) Find the height of a building that projects a shadow of 350 ft on the ground, if the angle of…

A: The height of the building that projects a shadow of 350 ft on the ground  and the angle of…

Q: The radian measure of an angle of 244 degrees is

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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…

A:

Q: 3. Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is…

A: As per our guidelines we are supposed to do only first question among multiple questions. To get the…

Q: A tower casts a shadow that is 154 feet long when the angle of elevation to the sun is 52°. How tall…

A: We use the definition of tan of an angle heretanθ =opposite sideadjacent side

Q: A radio tower is located 400 feet from a building. From a window In The building, a person…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 20 feet, what…

A:

Q: A lighthouse operator sights a sailboat at an angle of depression of 17 degrees. If the lighthouse…

A:

Q: A building that is 240 feet tall casts a shadow 40 feet long. What is the angle of elevation of the…

A:

Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the sine law to determine the measure of angle C, to the nearest degree, given that b = 89.4 ft,…

A: Given:-  b= 89.4 ft, angle B = 72°, and c = 36.3 ft. To find:- Angle C

Q: A radio tower is located 425 feet from a building. From a window in the building, a person…

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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: A building 290 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow…

A: Given, Building’s height = 290 feet Shadow’s length = 100 feet Person’s height = 5 feet

Q: From a boat on the lake, the angle of elevation to the top of a cliff is 29 degrees 4’. If the base…

A: Given that: Angle of elevation= θ =29°4' Base of the cliff = B = 380 feet To find H, the height of…

Q: A car wheel has a 13 inch radius. Through what angle (to the nearest 10th of a degree) does the…

A:

Q: The angle of depression from the top of a building, 212 meters tall, to a point on the ground is…

A: 2.1

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is 72…

A:

Q: From an airplane at an altitude (height) of 1200 m, the angle of depression to a rock on the ground…

A: Given,            From an airplane at an altitude (height) of 1200 m, the angle of depression to a…

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle…

A: Given that  A person standing 100 feet from the bottom of a cliff. The angle of elevation of the top…

Q: The angle of a depression from a lighthouse to a boat in the water is 14°. If the boat is 532 feet…

A:

Q: What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from…

A: Let the angle of elevation to the building be θ. The height of the building = 35 ft.

Q: A man climbs 213 meters up the side of a pyramid and finds thatthe angle of depression to his…

A: A man climbs 213 meters up the side of a pyramid and finds that the angle of depression to his…

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: From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation is 5°.…

A: Given, From a distance of 300 m, Susan looks up at the top of a lighthouse. The angle of elevation…

Q: The angle of depression from a bird sitting on top of a telephone pole to the base of a tree is 63°.…

A: Let α1 be angle of depression. The height of pole is 18 feet. Let the distance between pole and tree…

Q: A 20 ft ladder leans against a building so that the angle between the ground and the ladder is 81…

A: A 20 ft ladder leans against a building so that the angle between the ground and the ladder is 81…

Q: From a point 250 ft from the base of a tower, the angle of elevation to the top of the tower is 18.5…

A:

Q: A 110 ft. tree casts a shadow that is 302 ft. long. What is the angle of elevation of the sun? 40° O…

A: According to the given problem, the represented diagram is as shown below; Let, the angle of…

Q: A 32-ft ladder leans against a building so that the angle between the ground and the ladder is 79…

A:

Q: The radian measure of an angle of 334 degrees is

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.