A surveyor who is measuring the tallest tree in a park is 175 ft from the tree. His angle-measuring device is 4 ft above the ground. The angle of elevation to the top of the tree is 40°. How tall is the tree?

Q: Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.…

A:

Q: Miguel drives 220 meters up a hill that makes an angle of 4° with the horizontal ground. To the…

A: The figure of problem

Q: helps to support a tower. The angle between the wire and the level ground is 56. One end of the wire…

A: Given query is to find the height, where wire reaches on the tower.

Q: Fred was measuring the height of a building. He stood standing at some distance from the building…

A:

Q: Wilfrid is flying a kite in a flat field. He lets out 15 metres of string. The angle of elevation of…

A: The length of the string of the kite = 15 meters The angle of elevation of the kite from Wilfrid's…

Q: Find the angle of elevation of the sun, in degrees, when a 12 meter tall telephone pole casts a 21.6…

A:

Q: A six foot man is standing 80 feet away from a building.  He looks up at a 30° angle to see the top…

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: Yanek builds custom decks. The stairs for a customer have a riser of 180 mm and tread of 310 mm.…

A: It is given that the stairs have a riser of 180 mm and tread of 310 mm.We know, angle of elevation…

Q: To estimate the height of a building, a student stood a certain distance from a building and…

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.