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Anthony has told Marvin that he will come over and help him paint the sides of his house. Anthony

only has a 10 foot ladder and a really good eye for angles. In order to be safe, the ladder must be

within 1 degree of 76 degrees. If Anthony places the ladder 2. 5 feet from the base of the building,

will his ladder be close enough to the 76 degree angle to be safe? Explain.

Yes because Anthony's ladder will make a 75. 964 degree angle.

F

G

Yes because Anthony's ladder will make a 75. 522 degree angle.

H

No because Anthony's ladder will make a 14. 478 degree angle.

J

No because Anthony's ladder will make a 14. 036 degree angle.


Sagot :

mickymike92

Based on the data provided, Anthony will be safe because Anthony's ladder will make a 75. 522 degree angle.

What is the height of the wall?

The height of the wall is determined using trigonometric ratios.

Since the ladder must be within 1 degree of 76 degrees to be safe, we assume the maximum angle to be 77°.

Length of the ladder = 10 m

The ladder, the wall of building and the floor form a right-angled triangle.

Height of wall = 10 × sin 77°

Height of wall = 9.74 m

If Anthony places the ladder 2. 5 feet from the base of the building, angle A, it will make with the floor is calculatedas follows:

Cos A = 2.5/10

Cos A = 0.25

A = 75.522°

Therefore, Anthony will be safe because Anthony's ladder will make a 75. 522 degree angle.

Learn more about trigonometric ratios at: https://brainly.com/question/1201366

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