Question

Bentley leans a 22-foot ladder against a wall so that it forms an angle of 74degrees

∘
with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.

Answer 1

The height up the wall that the ladder reaches is approximately 21.15 feet.

Step-by-step explanation:

To find the height up the wall that the ladder reaches, we can use trigonometry.

The height can be found using the sine function, which relates the opposite side (the height) to the hypotenuse (the ladder).

In this case, the opposite side is the height up the wall and the hypotenuse is the ladder.

So, we can use the equation: height = ladder length * sin(angle).

Substituting the given values, we get:

height = 22 ft * sin(74°).

height = 21.147 or

height = 21.15 feet.