An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 27°. The shadow is determined to be 50 feet long. How tall is the building?

Q: After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm…

A: A homeowner examines trees on his property for damage. A 20 foot palm tree is leaning slightly from…

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: A person standing 306 feet from the base of a church observed the angle of elevation to the church's…

A: According to the question distance between base of the church and the observing person is 306 feet.

Q: The town of Sofia Germain has a smokestack that is 160 feet high. A guy wire must be fastened to the…

A: Given the height of a smokestack is 160 feet. And a guy wire must be fastened to the smokestack 45…

Q: A radio tower is located 275 ft from a building. from a window in the building, a person determines…

A:

Q: To calculate the height of a tree, Marie measures the angle of elevation from a point A to be 46°.…

A: The sides and angles of a right triangle are related by the trigonometric functions. Trigonometric…

Q: The angle of depression from an airplane to the top of an air traffic control tower is 56°. If the…

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

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

A:

Q: A fisherman at sea observed that the angle of elevation of a cliff is 21°. What is the distance…

A:

Q: The latitude of San Luis Obispo, California, is 35.282  0. Find the shadow angle for asundial in San…

A: Concept used: shadow angle for a sundial is given by the formula tanθ=sinαtanh·15° where α is the…

Q: A person standing 354 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 354 feet from the base of a churchThe angle of elevation to the church's steeple…

Q: A hunter is laying on the ground near a 15 foot tall tree. He sees his prey on top of the tree at an…

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

A:

Q: A surveyor stands on a grassland and sees an evergreen tree on the side of a hill. Using their…

A:

Q: A ranger at the top of a fire tower observes the angle of depression to a fire on level ground to be…

A: From the given problem the representative diagram is as shown below.

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: From the top of a cliff 280 meters high, the angle of depression of a boat is 25°. How far from the…

A: We  Have to determine from the base of the cliff is the boat?

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: Use the law of sines to find the measure of the indicated angle

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: After a hurricane, a homeowner examines trees on his property for damage. He thinks a 21-ft palm…

A: After a hurricane, a homeowner examines trees and thinks a 21-ft palm tree is leaning slightly from…

Q: A civil engineer is calculating the height of a tall tree. She stands 57 feet from the base of the…

A:

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 107 feet tall building casts a shadow of 90 feet. To the nearest whole degree, what is the angle…

A: Given: -

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: An observer at the top of a building sees a car on the road below. The angle of depression to 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: From the observation deck of a skyscraper, Deion measures a 48° angle of depression to a ship in the…

A: Topic = Trigonometric ratios

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: A building 150 feet tall casts a 30 foot long shadow. If a person looks down from the top of the…

A: Given,

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

A:

Q: A person standing 188 ft from the base of a church observed the angle of elevation to the church's…

A: Given:  The person standing 133 ft from the base of church observed the angle of elevation to the…

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: An escalator at a shopping center is 200 ft 9 in. (2409 in.) long, and rises at an angle of 15°.…

A: We have to find

Q: A person in a small boat, offshore from a vertical cliff known to be 100 feet in height, takes a…

A:

Q: . The Sears Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of…

A:

Q: A park ranger, on top of a 200-- foot tower, spots a wolf at an angle of depression of 14°. How far…

A:

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

A:

Q: A man wants to determine the height of a light house. He measured the angle from the ground and…

A: Given   tan A=3/4 Distance from base of light house to A is 40m .  We have to find height of light…

Q: a man standing near a radio station antenna observes that the angle of elevation to the top of the…

A:

Q: A person standing 241 feet from the base of a church observed the angle of elevation to the church's…

A: It is given that, A person standing 241 feet from the base of a church observed the angle of…

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: A bird is on perched on top of an 18 feet high flagpole. If the angle of depression of its direct…

A:

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: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

A:

Q: a person is standing on the roof of a building and is 34 feet away from the base of the building.…

A: The angles and the sides of a right triangle are related by using trigonometric functions.…

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.