Question

Jane and mark each build ramps to jump their remote controlled cars. both ramps are right triangles when viewed from the side. the incline of jands ramp makes a 30 dregree angle with the ground and the length of the incline ramp is 14 inches. the incline of marks ramp makes a 45 degree angle with the ground and the length of the incline ramp is 10 inches.what is the horizontal length of the base of janes ramp

Answer 1

1. You have that Jane's ramp makes a 30 dregree angle with the ground and the length of the incline ramp is 14 inches.

2. Then, to solve this problem you must apply the proccedure shown below:

Cosα=adjacent/hypotenuse

α=30°
adjacent=x
hypotenuse=14 inches

3. When you substitute the values and clear "x", you obtain:

Cos(30°)=x/14
x=14(Cos30°)
x=124,70

4. Therefore, the horizontal length of the base of jane's ramp is:

124,70 inches