A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a landmark in front of the plane to be 32° and the angle of depression to a landmark behind the plane to be 58°. If the land marks are 5.7 km apart, how far is she from the landmark in front of the plane?

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: To the nearest degree, what is the angle of depression from the hawk to the rabbit? 34° O 40° O 50°…

A: Let the angle of depression be X

Q: A boy is 1.5 m tall standing 12 m away from a church building which has a tower on top of its roof.…

A: We are given that a boy is 1.5 m tall standing 12 m away from a church building that has a tower on…

Q: The angle of elevation from a point A on the ground to the top of a space shuttle is 27°. If point A…

A: It is given that the angle of elevation of the space shuttle from point A is 27°. The distance from…

Q: A surveyor starts at the edge of a lake, at point A, and measures a 90° angle between B and C, as…

A: Here we will find the length of the lake between A and C,

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

A: topic - application of trigonometry

Q: To find the distance from a house at point A that is on one side of a river to a house at point B on…

A: As Angle A is 40° and angle C is 50° we get value of angle B is 90°.

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

A: for the upper triangle, use the tan function  tan36=x400 x=400tan36 x=400·0.7265425 x=290.61701

Q: As viewed from a cliff 360 m above sea level, the angle of depression of a ship is 28°. How far is…

A: The objective is to find how far is the ship from the base of the Cliff

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 building 230 feet tall casts a 40-foot-long shadow. If a person stands at the end of the shadow…

A:

Q: A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 67°.…

A: Here AC is ladder of length 22 ftAB is buildingBC is ground and the angle between the ladder and…

Q: The angle of depression from the top of a building to the base of a car is 60∘. If the building is…

A:

Q: The angle of depression from the top of a tower to a rock on the ground is 38°. If the tower is 25…

A:

Q: A ship is on the surface of the water, and its radar detects a submarine at a distance of 238 ft, at…

A: Here we have to use basic trigonometric ratios to find the depth of the submarine.

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

Q: A radio tower is located 350 feet from a building. From a window in the building, a person…

A: The angle of elevation to the top of the tower = 28° The angle of depression to the bottom of tower…

Q: If a loading ramp is placed next to a truck, at a height of 3 feet, and the ramp is 13 feet long,…

A:

Q: A ladder that is 20ft long is leaning against the side of a building. If the angle formed between…

A: A ladder that is 20 ft. long is leaning against the side of a building and the angle formed between…

Q: From a 200 foot tower on the shore a man sees a ship at sea. If the angle of depression from the man…

A:

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12

A:

Q: Assuming that a 370 foot tall giant redwood grows vertically, if i walk a certain distance from the…

A: According to Given problem

Q: A person is standing 32 feet away from the bottom of a tree. If the angle of elevation to the top of…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: From the top of a lighthouse 18 m high, the angle of depression to sighta boat is 4°. What is the…

A: From the top of a lighthouse 18 m high, the angle of depression to sight a boat is 4°. Let the…

Q: a1. The angle of depression from a bird sitting on top of a telephone pole to the base of a tree 12…

A: we are given with word problem.

Q: A telephone pole in Valdosta casts no shadow at the same time as a telephone pole in Atlanta casts a…

A: Given A telephone pole in Valdosta casts no shadow And at the same time as a telephone pole in…

Q: The angle of elevation from the top of a small building to the top of a nearby taller building is…

A: Given angle of elevation 46° Angle of depression 14°

Q: A satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

A:

Q: Assuming that a 360-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

A:

Q: Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When…

A:

Q: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

A: From the top of a fire tower that is 45 feet high, a forest ranger sees her colleague on the ground…

Q: 1) From the top of a coconut tree is 20m tall. A dog is spotted at an angle of depression of 15°.…

A:

Q: To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which…

A:

Q: A 16 foot ladder is used to scale a 14.5 foot wall. At what angle of elevation must the ladder be…

A: Please see the answer below.

Q: A 45.0 – m guy wire is attached to the top of a 33.6 – m antenna and to a point on the ground. How…

A: The solution is given below

Q: A 15-ft ladder leans against a building so that the angle between the ground and the ladder is 74…

A: Let AB represent the building and AC represent the ladder. So the triangle formed by the ladder,…

Q: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 22 feet long,…

A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

Q: A wall that is 1.4 meters long started to lean and now makes an angle of 80 degrees with the ground.…

A: Question is solved.

Q: a hot air balloon at a 35° angle of elevation. 7) Lee, on the ground, looks up at Bruce If lee and…

A:

Q: A 19-ft ladder leans against a building so that the angle between the ground and the ladder is 63°.…

A:

Q: From the top of a coconut tree that is 20 meters tall, a dog is spotted at an angle of depression of…

A: According to the given information the figure is, Height of a coconut tree = BC = 20 m Distance…

Q: Find the value of the marked angle to the nearest degree. 27 11 1?

A:

Q: The angle of elevation from point A to the top of the cliff is 34°. If point A is 1,000ft from the…

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

Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is…

A:

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

A:

Q: The cables attached to a TV relay tower are 100 m long. They meet level ground at an angle of 60.0°,…

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.