Question

Find the horizontal distance from the bottom of the ramp to the bottom of the platform. Show your work, rounding to the nearest hundredth, if necessary.

Answer 1

Observe the picture below:

In the question, we have a right triangle ABC.

It is known:

Hypotenuse = 3.5 m

Adjacent angle = x

Angle = 28°

Using the formula of cosine:

$cosine(A)=\frac{adjacent\text{ side }}{hypotenuse}$

Then, we have:

$cos(28)=\frac{x}{3.5}$

Multiplying both sides by 3.5 and solving for x:

$\begin{gathered} x=cos(28)*3.5 \\ x=3.09 \end{gathered}$

Answer: The distance is 3.09 meters.