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 pa…

Question

asked Sep 11, 2023 127k views

1 Answer

Jerico Sandhorn · Answer 1 · 2023-09-16T23:28:05+0000

Given:

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

Step-by-step 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:

$cos50^(\circ)=(x)/(2)$

Then,

$\begin{gathered} cos50^{\operatorname{\circ}}=(x)/(2) \\ 0.64=(x)/(2) \end{gathered}$

Then,

$\begin{gathered} 0.64=(x)/(2) \\ x=0.64*2 \\ x=1.28 \\ x=1.3mi \end{gathered}$

Final answer:

Hence, the correct option C.