Question

CAN SOMEONE HELP AND EXPLAIN THIS TRIGONOMETRY PROBLEM

Answer 1

Explanation:

Hey there!

Simply work with it.

As it is a Right angled triangle, taking angle 40° as a reference angle. Then,

Length of board = hypotenuse = 15 feet.

To find: height of ladder = perpendicular.

Now,

Taking sin ratio,

`\sin = (p)/(h)`

`sin \: 40 = (p)/(15)`

or, as in per the given sin value is 0.6428

so,

`0.6428 = (p)/(15)`

or, 15 × 0.6428 = p

or, p = height of ladder = 9.642.

Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.

Hope it helps...