SOLUTION: A 15 ft ramp has a height of 6 ft. What is the angle measure of the incline of the ramp with the ground, to the nearest degree?

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Question 1200230: A 15 ft ramp has a height of 6 ft. What is the angle measure of the incline of the ramp with the ground, to the nearest degree?
Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Hypotenuse 15 feet
Vertical leg 6 feet

sine of the angle asked for is 6%2F15=2%2F5. And maybe you can continue this and finish.

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

theta = theta

Draw out a right triangle with hypotenuse 15 and opposite side 6 (it is opposite angle theta).

sin(angle) = opposite/hypotenuse
sin(theta) = 6/15
sin(theta) = 0.4
theta = arcsin(0.4)
theta = 23.578 approximately
theta = 24 degrees is the final answer.

Arcsine is the same as inverse sine, denoted on many calculators with the notation