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hammer [34]
3 years ago
8

1. Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is

16.5 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 70°. Will the ladder be safe at this height? Show your work please.
Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

NO, the ladder is too steep.

Step-by-step explanation:

Length of ladder = 17 feet.  This is the hypotenuse.  

 Side a of a right triangle = 16.6    

To answer this, you need one of the trigonometric functions.      Opposite = 16.5    

hypotenuse = 17    

The function you need is the sine function.    

Sin(theta) = opposite / hypotenuse    

sin(theta) = 16.5 / 17    

Sin(theta) = 0.97059    

theta = sin-1(0.07059)    

theta = 76.07  

No the ladder is too steep.

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Add 1 to both sides:

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In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that

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Under this assumption, we square both sides and we have

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The solutions to this equation are

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In fact, we have

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and

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4 0
3 years ago
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muminat

Answer:

The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.

Step-by-step explanation:

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SOVA2 [1]

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Step-by-step explanation:

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