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Answer:
Noah should buy a ladder of length greater than <u>28.1 ft</u> 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.
