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Pie
2 years ago
15

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.
Mathematics
1 answer:
Ne4ueva [31]2 years ago
3 0

Yes the ladder be safe at this height.

<h3>What is angle of elevation?</h3>

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:

brainly.com/question/21137209

#SPJ1

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The formula to find markup amount

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Original price of new car = $18,780

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Change in price = 22,150 - 18,780 = 3370

Markup = \frac{Change in price }{original price}

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3 years ago
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First, note that for angles LMP and NMP you have

m\angle LMP+m\angle NMP=m\angle NML.

If m\angle LMP is 11^{\circ} more than m\angle MNP, then

m\angle LMP=m\angle NMP+11^{\circ}.

Now, since m\angle MNL=137^{\circ}, you have

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m\angle LMP=63^{\circ}+11^{\circ}=74^{\circ}.

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The <em><u>correct answer</u></em> is:

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