Question

Select the correct answer.A town park has two paths leading to the playground. One path is 2 miles from the road and the other path makes a right angle with the road. The two paths intersect at an angle of. What is the approximate distance from the playground to the road along the other path?A. 1.5 miB. 3.1 miC. 1.3 miD. 2.6 mi

Answer 1

Given:

There are given that the two paths and one path are 2 miles from the road.

Explanation:

Suppose the distance from the playground to the road is x.

To find the value x, we need to use the cos function;

So,

From the cos function in the given right angle triangle:

$cos50^{\circ}=\frac{x}{2}$

Then,

$\begin{gathered} cos50^{\operatorname{\circ}}=\frac{x}{2} \\ 0.64=\frac{x}{2} \end{gathered}$

Then,

$\begin{gathered} 0.64=\frac{x}{2} \\ x=0.64\times2 \\ x=1.28 \\ x=1.3mi \end{gathered}$

Final answer:

Hence, the correct option C.