Trigonometric Applications quiz

A right-angled triangle has a base of 5 cm and a height of 12 cm. Calculate the area of the triangle using trigonometric functions.

• 30 square cm

• 40 square cm

• 17 square cm

• 8 square cm

A cylindrical water tank has a radius of 4 meters and a height of 6 meters. Find the volume of the tank using trigonometric functions.

• V = 2π(4)(6) = 48π cubic meters

• V = π(4^2)(3) = 48π cubic meters

• The volume of the tank is V = π(4^2)(6) = 96π cubic meters.

• V = π(6^2)(4) = 144π cubic meters

A playground has a circular area with a radius of 20 meters. Calculate the area of the playground using trigonometric functions.

• The area of the playground is 400 square meters.

• The area of the playground is 1256.64 square meters.

• The area of the playground is 1500 square meters.

• The area of the playground is 800 square meters.

A conical tent has a radius of 8 meters and a slant height of 10 meters. Find the volume of the tent using trigonometric functions.

• The volume of the tent is approximately 402.12 cubic meters.

• The volume of the tent is approximately 500 cubic meters.

• The volume of the tent is approximately 1000 cubic meters.

• The volume of the tent is approximately 80.21 cubic meters.

A rectangular swimming pool has a length of 10 meters, a width of 5 meters, and a depth of 2 meters. Calculate the volume of the pool using trigonometric functions.

• 25 cubic meters

• 100 cubic meters

• 15 cubic meters

• 50 cubic meters

A silo has a conical shape with a radius of 6 meters and a height of 15 meters. Find the volume of the silo using trigonometric functions.

• The volume of the silo is 600.50 cubic meters.

• The volume of the silo is 90.48 cubic meters.

• The volume of the silo is 300.25 cubic meters.

• The volume of the silo is 452.39 cubic meters.

A sector of a circle has a radius of 12 meters and a central angle of 60 degrees. Calculate the area of the sector using trigonometric functions.

• The area of the sector is 72π square meters.

• The area of the sector is 24 square meters.

• The area of the sector is 144 square meters.

• The area of the sector is 36π square meters.

A pyramid has a square base with a side length of 8 meters and a height of 10 meters. Find the volume of the pyramid using trigonometric functions.

• 150 cubic meters

• 300 cubic meters

• 125.6 cubic meters

• 213.33 cubic meters

A cylindrical pillar has a radius of 3 meters and a height of 12 meters. Calculate the volume of the pillar using trigonometric functions.

• The volume of the pillar is V = π(3^2)(12) = 108π cubic meters.

• V = π(3^2)(12) = 108 cubic meters

• V = π(3^2)(12) = 36 cubic meters

• V = π(3^2)(12) = 36π cubic meters

A triangular roof has a base of 10 meters and a height of 6 meters. Find the area of the roof using trigonometric functions.

• The area of the roof is 10 + 6 = 16 square meters.

• The area of the roof is (1/2) * 10 + 6 = 8 square meters.

• The area of the roof is 10 * 6 = 60 square meters.

• The area of the roof is (1/2) * 10 * 6 = 30 square meters.