Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.