Trigonometry Quiz (No Calculator)

Solve the right-angled triangle with a hypotenuse of 10 and one angle of 30 degrees.

• 5

• 12

• 15

• 8

Find the missing side in a right-angled triangle with a hypotenuse of 15 and one angle of 45 degrees.

• 8.9

• 7.5

• 10.61

• 12.3

A ladder is leaning against a wall. If the ladder is 20 feet long and the angle between the ladder and the ground is 60 degrees, how far is the base of the ladder from the wall?

• 10√3 feet

• 15 feet

• 25 feet

• 5√3 feet

In a right-angled triangle, if one angle is 60 degrees and the hypotenuse is 12, find the length of the opposite side.

• 3

• 15

• 6

• 9

Find the missing angle in a right-angled triangle with one angle of 40 degrees.

• 90 degrees

• 50 degrees

• 30 degrees

• 60 degrees

A flagpole casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. Find the height of the flagpole.

• 10 meters

• 7.5 meters

• 5 meters

• 20 meters

A tree casts a shadow of 25 meters when the angle of elevation of the sun is 60 degrees. Find the height of the tree.

• Approximately 60.5 meters

• Approximately 43.3 meters

• Approximately 20.2 meters

• Approximately 35.8 meters

A person is standing 100 meters away from a building. If the angle of elevation to the top of the building is 45 degrees, how tall is the building?

• 100 meters

• 75 meters

• 200 meters

• 50 meters

A ladder is leaning against a wall. If the ladder is 25 feet long and the angle between the ladder and the ground is 75 degrees, how far is the top of the ladder from the ground?

• 24.25 feet

• 22.5 feet

• 30 feet

• 20 feet