In order to use a ladder safely, the angle that the ladder forms with the ground should not exceed 70 degree. if you have a ladder that is 16 ft. long, what is the maximum height on the wall of a building that the ladder will safely reach? round your answer to the nearest thousandth.

Maximum safe height can be reached by ladder = 15.03. ft

Step-by-step explanation:

Given,

Let's assume the maximum safe height of wall = h

angle formed between ladder and ground = 70°

length of ladder = 16 ft

From the given data, it can be seen that ladder will form a right angle triangle structure with the wall

So,from the concept of trigonometry,

=> h = 16 x 0.9396

=> h = 15.03 ft

So, the maximum safe height that can be reached by the ladder will be 15.03 ft.

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