SOLUTION: A ramp is pulled out of the back of a truck. If the ramp is 6 feet long and the height from the ground to the ramp is 4 feet, find the angle between the ramp and the ground.

Algebra ->  Trigonometry-basics -> SOLUTION: A ramp is pulled out of the back of a truck. If the ramp is 6 feet long and the height from the ground to the ramp is 4 feet, find the angle between the ramp and the ground.      Log On


   

Question 1104328: A ramp is pulled out of the back of a truck. If the ramp is 6 feet long and the height from the ground to the ramp is 4 feet, find the angle between the ramp and the ground.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
sin%28x%29=2%2F3

-

Draw the figure, label the parts if needed, use any trigonometric relationship you can find applicable. Sine seems most appropriate.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angle between ramp
and ground = +theta+
+sin%28+theta+%29+=+4%2F6+
+sin%28+theta+%29+=+2%2F3+
+theta+=+arc+sin%28+.667+%29+
+theta+=+41.181+ degrees