Question

A 40ft long ladder leaning against a wall makes an angle of 60 degrees with the ground. Determine the vertical height of which the ladder will reach.

Answer 1

The vertical height, h = 34.64 feets

Explanation:

Given that,

Length of the ladder, l = 40 ft

The ladder makes an angle of 60 degrees with the ground,
`\theta=60^(\circ)`

We need to find the vertical height of of which the ladder will reach. Let it iss equal to h. Using trigonometric equation,

`sin\theta=(perpendicular)/(hypotenuse)`

Here, perpendicular is h and hypotenuse is l. So,

`sin(60)=(h)/(40)`

`h=sin(60)* 40`

h = 34.64 feets

So, the vertical height of which the ladder will reach is 34.64 feets. Hence, this is the required solution.