Question

A 10-foot ramp must make an angle of 30degrees 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?

Answer 1

Find Height of the window from horizontal ground
\[\sin 30 =\frac{Height}{10}\]

Use that height to find the angle
\[\sin \theta =\frac{height}{15}\]

Answer 2

I got the height as 5. So once I have that, it would be..
sin(theta)=5/15
sin(theta)=1/3

How do I find out what that is in degrees?

Answer 3

\[\theta = \sin^{-1} \frac{1}{3}\]

Answer 4

use the calculator

Answer 5

Okay, thanks! I got 19 :)

Answer 6

npz