Question

A 46- meter firetruck ladder is leaning against the wall. Find the distance in the ladder goes up the wall if it makes an angle of 52° with the ground. Answer to the nearest meter. Draw a picture, write a equation, and solve.

Answer 1

Given:

The length of ladder is, l = 46 m.

The angle formed by the ladder with the ground is, θ = 52°.

The objective is to find the distance in the ladder goes up in the wall.

Step-by-step explanation:

The situtation can be represented as,

Here, x represents opposite side which is the distance in the ladder goes up the wall. l represents the hypotenuse side which the length of the ladder.

To find x:

The value of x can be calculated using trigonometric ratio of sin.