Answer:
Length of ramp = 77.27ft
Explanation:
Step 1 - Sketch a diagram
Make a line about 15 deg. above the horizontal x-axis. Draw the horizontal and vertical components to form a right triangle. See image if you don’t understand.
Step 2 - Label your diagram
Your triangle creates a 15 deg. angle with the x-axis and we know the vertical distance from the top of the ramp to the ground is 20 ft.
Step 3 - Use trig to make an equation and solve
SOH CAH TOA
I’m this problem we know the angle, know “opposite, and we are solving for the hypotenuse of the triangle. Therefore, it would be easiest to use SOH or sin(theta)= (opp./hyp.) Plug in the numbers and solve for the hypotenuse.
All work is shown in the attached image.
