1. Rana is at the top of a cliff and sees a seal in the water. If the cliff is 40 m above the water and the angle of depression is 52°, what is the horizontal distance from the seal to the cliff, to the nearest m? 2. Ahmed is on the top deck of a cruise ship and observes two dolphins following each other directly away from the ship in a straight line. Ahmed's position is 154 m above sea level, and the angles of depression to the two dolphins are 35° and 36°. Find the distance between the two dolphins to the nearest meter.

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: At a point 200 feet from the base of a building, the angle of elevation to the bottom of a…

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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: To estimate the height of a tree, one person positions himself due south of a tree and the other…

A: C = position of tree A = position of one man in East B = position of one man in North AB = 82 feet…

Q: A person observes that from point A, the angle of elevation to the top of a cliff at D is 30°.…

A: GIVEN  HEIGHT OF CLIFF , DC=80m

Q: - How far from the wall of a building is the base of a 33 ft. ladder which makes an angle of 70"…

A: Here, hypotenuse = 33ft  Angle = 70°  We have to find the base .

Q: A pilot is flying over a flat (horizontal) land. She determines the angle of depression to a…

A: The given situation is as shown. Now, use the fact that sum of the angle s of the triangle is 180°.…

Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 23 feet long,…

A:

Q: 3. The angle of elevation of the top of a cellphone tower to a point on the ground is 40 The…

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Q: 3. The angle of elevation of a building 80 m high from a man on the ground is 50°42'. How far is the…

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Q: A helicopter takes off, and travels forward at an angle of 65.1°above horizontal. After following…

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Q: b) Determine the value of the principle angte and the related acute angle to the nearest degree.

A:

Q: 1. To determine the height of a tree, a person stands 40 feet from the tree and finds that the angle…

A: As per the guidelines .i can solve only first question

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:

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A:

Q: From a point on the ground, the angle of elevation to the top of a vertical wall is 40°. If the wall…

A:

Q: (1) To measure the height of a building, a surveyor sets up his transit at a distance of 112.2 feet…

A:

Q: 2. A surveyor determines that the angle of elevation of the top of a building from a point on the…

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

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

A:

Q: 7. Two guy wires 27 m and 15 m in length are to be fastened to the top of a TV tower from two points…

A:

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: 7. Two guy wires 27 m and 15 m in length are to be fastened to the top of a TV tower from two points…

A: cosine law of triangle                                         c2=a2+b2-2abcosθwhere θ is angle…

Q: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the 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 satellite orbiting the earth passes directly overhead at observation stations in Phoenix and Los…

A:

Q: If a loading ramp is placed next to a truck at a height of 2 feet and the ramp is 17 feet long what…

A:

Q: person standing 397 feet from the base of a church observed the angle of elevation to the church's…

A: A person standing 397 feet from the base of a church observed the angle of elevation to the church's…

Q: 2) As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is 125…

A: This question is related to Trigonometry, we will we will solve it using given information.

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

A: We can use trigonometric ratios to answer this question.

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A:

Q: Islands A, B, and C are in the Pacific Ocean and have a clear line of sight and sailing to one…

A: Given- AB= 9 miles AC= 9 miles BC= 4 miles According to the given data, an isosceles triangle…

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A: First draw the digram then then convert the angle in degree then use trigonometric relation and…

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A:

Q: Two hikers set out in different directions froma marked tree on the Bruce Trail. The angle formed…

A: Given query is to find the distance between the hikers.

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: 13 14 15 The horizontal distance on a survey map from the top edge of a riverbank to the river is 85…

A: To find the angle of depression

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A:

Q: 23. As shown in the diagram below, a ship is heading directly toward a lighthouse whose beacon is…

A:

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 tunnel is planned through a mountain to connect points A and B on two existing roads, as shown in…

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: 1. From the top of an 80-meter-high vertical cliff, a boat has an angle of depression of 38°. How…

A: Topic = Trigonometric ratios

Q: 1. A 75-feet extension ladder rests on top of a hook and ladder truck with its base 11 feet from the…

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: A tunnel is planned through a mountain to connect points A and B on two existing roads. If the the…

A:

Q: 13. Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A:

Q: 9) (10pts) The angle of elevation to the top of a building from a point on the ground is 37°. If the…

A: This a basic question related to Theory of trignometry .It can be solved using simple formula of…

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.