A 10-foot ladder is leaned against a wall. The angle between the base of the ladder and the ground measures 62°. How far up the

Question

Misha Larkins [42]

2 years ago

7

A 10-foot ladder is leaned against a wall. The angle between the base of the ladder and the ground measures 62°. How far up the

wall does the ladder reach from the ground rounded to the nearest tenth?

Mathematics

1 answer:

aalyn [17] · Answer 1 · 2022-04-04T18:58:51+03:00

To solve this problem you must apply the proccedure shown below:

1. You have that:

- The<span>10-foot ladder is leaned against a wall.
- The angle between the base of the ladder and the ground measures 62°.

2. Therefore, you have:

Sin</span>α=opposite/hypotenuse

α=62°
opposite=x
hypotenuse=10

3. Therefore, when you clear "x", you obtain:

Sin(62°)=x/10
(10)(Sin(62°))=x
x=8.82

<span>How far up the wall does the ladder reach from the ground rounded to the nearest tenth?
</span>
The answer is: 8.82 ft