Question

The steps of a stepladder rise at an incline of 60°. If the base of the ladder is 1.24m long, how tall is the stepladder?

Answer accurate to 1 decimal place

Answer 1

Answer: The height of stepladder is 2.5 m long.

Explanation:

Since we have given that

Angle of elevation = 60°

Base of the ladder = 1.24 m

We need to find the height of stepladder.

We will use "cosine of a triangle":

`\cos 60^\circ=(1.24)/(Hypotenuse)\\\\(1)/(2)=(1.24)/(Hypotenuse)\\\\hypotenuse=1.24* 2\\\\hypotenuse=2.48\ m`

Hence, the height of stepladder is 2.5 m long.