Noah wants to clean his second story windows and plans to buy a ladder that will reach at least

22

feet high. If he leans the ladder against the house so that the base of the ladder makes a

51.5

∘

angle with the ground, how long of a ladder should he buy? Please round to one decimal place

Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.

Step-by-step explanation:

Given:

Noah has to reach at least 22 ft height.

Angle made by the base of ladder with the ground = 51.5°

To find the length of the ladder.

Solution:

On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.

In triangle ABC.

∠C = 51.5°

AB = 22 ft

Applying trigonometric ratio to find AC (length of the ladder).

Plugging in values.

Multiplying AC both sides.

Dividing both sides by

Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²