Trigonometric Ratios Quiz

Using trigonometric ratios, find the height of a tree if the angle of elevation is 60 degrees and the distance from the tree is 20 meters.

• 15√3 meters

• 40 meters

• 20√3 meters

• 10√3 meters

A ladder is leaning against a wall. If the angle of elevation is 45 degrees and the ladder is 10 meters long, find the height of the wall.

• 10 * cos(45°) = 7.07 meters

• 10 * sin(45°) = 7.07 meters

• 10 * tan(45°) = 7.07 meters

• 10 * sin(90°) = 10 meters

A flagpole casts a shadow of 15 meters when the angle of elevation of the sun is 60 degrees. Find the height of the flagpole.

• 15 / tan(60 degrees)

• 15 * sin(60 degrees)

• 15 * tan(60 degrees)

• 15 * cos(60 degrees)

A person is standing 100 meters away from a building. If the angle of elevation to the top of the building is 30 degrees, find the height of the building.

• 100 * sqrt(3) meters

• 50 meters

• 200 meters

• 50 * sqrt(3) meters

A Ferris wheel has a radius of 25 meters. If a person is 30 meters above the ground, find the angle of elevation from the center of the Ferris wheel to the person.

• tan(25/30)

• cos(30/25)

• sin(30/25)

• arctan(30/25)

Find the area of a triangle with a base of 10 meters and a height of 8 meters using trigonometric ratios.

• 40 square meters

• 18 square meters

• 80 square meters

• 64 square meters

A rectangular garden has a length of 20 meters and a width of 15 meters. Find the perimeter of the garden using trigonometric ratios.

• 35 meters

• 50 meters

• 25 meters

• 70 meters

A right-angled triangle has a base of 12 meters and a height of 5 meters. Find the area of the triangle using trigonometric ratios.

• 30 square meters

• 25 square meters

• 10 square meters

• 17 square meters

A circular swimming pool has a radius of 10 meters. Find the area of the pool using trigonometric ratios.

• 200 square meters

• 100 square meters

• 314.16 square meters

• 50 square meters

A regular hexagon has a side length of 6 meters. Find the perimeter of the hexagon using trigonometric ratios.

• 48 meters

• 24 meters

• 12 meters

• 36 meters