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?
1 answer:
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
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