SOLUTION: Aramp is to be built beside the steps to the campus libraryFind the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its final height is 7 feet The ram

Algebra ->  Trigonometry-basics -> SOLUTION: Aramp is to be built beside the steps to the campus libraryFind the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its final height is 7 feet The ram      Log On


   

Question 1198253: Aramp is to be built beside the steps to the campus libraryFind the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its final height is 7 feet
The ramp makes and angle of approximately ____ with the ground.
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

Angle = arcsin%287%2F23%29.

You do the rest.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use sin%28theta%29+in a right angle triangle is the ratio of its perpendicular to its Hypotenuse
We know that the length (Hypotenuse) of the ramp is+23 feet, while the height (Perpendicular) of the ramp is 7+feet.
Thus,
sin%28theta%29=7%2F23
theta=sin%5E-1%287%2F23%29
theta=17.72°