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

Answer:

B. 14°

Step-by-step 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

$sin(\theta)=\frac{y}{x}$ ----> 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

$sin(\theta)=\frac{2}{8.5}$

using a calculator

$m\angle \theta=sin^{-1}(\frac{2}{8.5})=14^o$