Leticia places a 10 foot ladder against a wall with a 70 degree angle with the ground, how high up the wall does the ladder reac

Question

Tom [10]

3 years ago

8

Leticia places a 10 foot ladder against a wall with a 70 degree angle with the ground, how high up the wall does the ladder reac

h

Mathematics

1 answer:

Troyanec [42] · Answer 1 · 2022-04-11T02:08:28+03:00

To solve this problem you must apply the proccedure shown below:
1. You have that <span>ladder measures 10 foot and forms and angle of 70 degrees with the ground.
2. Therefore, you have:
Sin</span>α=opposite/hypotenuse
α=70°
opposite=x
hypotenuse=10
3. When you substitute the values, you obtain:
Sin(70°)=x/10
4. Now, solve for x, as following:
x=(10)(Sin(70°)
x=9.39 feet
Therefore, the answer is: 9.39 feet.