Ask Question
15 February, 22:34

A 10-foot ramp must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 15-foot ramp make with the ground to reach the same window?

+4
Answers (1)
  1. 15 February, 22:46
    0
    The problem above creates a right triangle as the ramp reaches a window making an angle from the ground.

    Given:

    Hypotenuse = 10 ft ramp

    θ = 30°

    Find:

    Opposite side = O

    θ = at 15 ft. ramp

    First, we will find the height of the certain window. This is considered to be the opposite side and the ramp serves as the hypotenuse. We can use the SOH function in Pythagorean theorem

    sin 30° = O / 10

    O = 10 (sin 30°) ⇒ simplify to get the opposite side

    O = 5 ft ⇒ height if the certain window from the ground

    Use the obtained value to get the angle needed by a 15 ft ramp leaning on the same window.

    sin θ = 5 / 15

    sin θ = 1 / 3 ⇒ simplify further to get the angle

    θ = arc sin (1/3)

    θ = 19.47°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A 10-foot ramp must make an angle of 30° with the ground if it is to reach a certain window. What angle must a 15-foot ramp make with the ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers