Chapter 9.8, Problem 25E

To determine

Tofind:Length of ground covered by ramp

Answer to Problem 25E

  $d\approx 4\text{ m}$

Explanation of Solution

Given information:

Length of access ramp $=4\text{m}$

Angle between ramp and ground $={4.8}^{\circ }$

Length of ground $=d$

Concept Used:

In a right-angled triangle ABC, sine for acute angle $\angle A$ is the ratio of length of side opposite to angle $\angle A$ to the length of hypotenuse and cosine of acute angle $\angle A$ is the ratio of length of side adjacent to angle $\angle A$ to the length of hypotenuse.

Calculation:

Basis definition we can say-

  $\begin{array}{l}\cos {4.8}^{\circ }=\frac{Adjacent}{Hypotenuse}\\ \Rightarrow 0.9965=\frac{d}{4}\\ \Rightarrow d=\left(0.9965\right)4\\ \Rightarrow d=3.9859\\ \Rightarrow d\approx 4\text{ m}\end{array}$