In the figure, a person standing at point A notices that the angle of elevation to the top of the antenna is 48degrees30'. A second person standing 34.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 44degree10'. How far is the person at A from the base of the antenna?

Q: 3. You are outdoors looking toward the sun. You look up and estimate the angle of the sun's…

A: Given that

Q: The Cats R Us building is 60 feet high. Mrs.Hart is standing some distance away from the tower…

A: Here this problem is part of height and distance so we will find this by that method.

Q: How high does a 17-foot-tall temporary support post reach when it is positioned at a 30° angle to…

A: Let height be h and we know that in a right angle triangle  sinθ=side opposite to…

Q: An airplane descends at an angle of depression of 22" for a ground distance of 7850 feet. What…

A:

Q: Lisa stands at the window of a building looking for her lost cat. She spots her cat 58.5 m away from…

A: Lisa spots the cat from the window of building which is at a height of 12.6 m.  The cat is at a…

Q: A man who is 70 inches tall casts a shadow of 105 inches. Assuming that the man is standing…

A: Proceed as shown below

Q: You are standing 20 feet from the base of a monument. The angle formed by the ground and your line…

A:

Q: Two people are standing on opposite sides of a small river. One person is located at point​ Q, a…

A: Find the length of the bridge and the distance between the two people.

Q: Jim is looking up at a tree at an angle of elevation of 60°. If Jim is standing 72 feet away from…

A: use the formula by the trigonometric ratio for finding the height of the tree.

Q: A surveyor observes that the angle between the road and the bottom of a bridge girder is 30 degrees.…

A: Given data is : Angle θ=30∘ Bridge clearance is 16.5 feet. To find the horizontal distance from the…

Q: 4. Two light spotted the same mark on the tower, the mark was 35 ft. from the ground. The forst…

A: Given problem:- Two light spotted the same mark on the tower, the mark was 35 ft. from the ground.…

Q: A surveyor in an airplane travelling east sees a lake in front of her. The angle of depression to…

A:

Q: The shadow of a man is 10 feet long when the angle of elevation of the sun is 30.5°. Determine the…

A:

Q: From the top of an 82 meter high vertical cliff, a boat has an angle of depression of 32 degrees.…

A: We will use trigonometric ratio to solve this.

Q: From Point S, Samantha uses a clinometer to determine the angle of elevation to the top of the cliff…

A:

Q: There is an escalator that is 1083.6 feet long and drops a vertical distance of 196.1 feet. What is…

A:

Q: A kite is 50 feet high when 170 feet of string is out. What angle does the kite make with the ground…

A:

Q: Q2. A man sitting at a height of 40 m on a tall tree on a small island in the middle of a river…

A:

Q: Bob, who is 2.2 m tall, is standing a distance of 15 m from a flagpole as shown below. From his…

A: Consider a point A on the flag pole such that point B and A are at the same level from the ground.…

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.