A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

The top of the ramp is (Answer) feet above the ground.

Do NOT estimate/round your answer. If necessary, enter your answer as a simplified radical. Use sqrt () to represent square root. Example: 32 - √

32 would be entered 3sqrt (2). Do not use any spaces in your answer. Rationalize the denominator if necessary.

Question

Mathematics

Giada Howell

11 August, 07:56

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

The top of the ramp is (Answer) feet above the ground.

Do NOT estimate/round your answer. If necessary, enter your answer as a simplified radical. Use sqrt () to represent square root. Example: 32 - √

32 would be entered 3sqrt (2). Do not use any spaces in your answer. Rationalize the denominator if necessary.

+3

Answers (1)

Know the Answer?

Selina Duran · Answer 1

Setting up a right triangle, the 100 would be the hypotenuse, the 45 would be the angle of elevation, and you're looking for the opposite side.

Sin 45 = x/100

100sin45 = x

100 * ✓ (2) / 2 = x

50 ✓2 = x

x = 50✓2 ft