Question

Help ASAP. A carpenter builds a ramp from the level ground to a platform that is 2 ft high. If the length of the ramp is 8 ft 6 in. long, what is the angle measure the ramp makes with the ground, to the nearest degree? A. 7° B. 14° C. 17° or D. 30°

Answer 1

B. 14°

Explanation:

Let

x ---> the length of the ramp

y ---> the high of the ramp

`\theta` -----> the angle measure the ramp makes with the ground

we know that

`sin(\theta)=(y)/(x)` ----> by SOH (opposite side divided by the hypotenuse)

Remember that

`1\ ft=12\ in`

we have

`y=2\ ft`

`x=8\ ft\ 6\ in=8+(6/12)=8.5\ ft`

substitute

`sin(\theta)=(2)/(8.5)`

using a calculator

`m\angle \theta=sin^(-1)((2)/(8.5))=14^o`