Question

Rashad leans a 16-foot ladder against a wall so that it forms an angle of 73° with theground. How high up the wall does the ladder reach? Round your answer to thenearest hundredth of a foot if necessary,

Answer 1

Given:

16-ft ladder

Angle of 73 with the ground

First, let us sketch the problem for us to underdtand what do we need to do in order to solve this problem.

Now, we can rewrite the given as:

hypotenuse = 16

angle = 73

Find for the opposite side h.

For us to solve this, we will use the following equation

$\sin \theta=\frac{opposite}{hypotenuse}$

Plugging in the given data,

$\sin 73=\frac{h}{16}$

*Multiply both sides by 16

$16\sin 73=h$$h=15.30$

Therefore, the final answer would be 15.30 ft.