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Joshua has a ladder that is 15 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78°.
Will the ladder be safe at this height? Show your work and label the diagram to support your answer.

Sagot :

Yes the ladder be safe at this height.

What is angle of elevation?

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

Given:

ladder = 15 ft long.

top of the ladder is 14.2 ft above the ground.

Using trigonometry,

sin x = 14.2/15

sin x = 0.947

x= 71.262°

As, 78 > 71.262°

Hence, it would be safe to use the ladder of 15 ft long.

Learn more about angle of elevation here:

https://brainly.com/question/21137209

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