Question

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 reach

Answer 1

To solve this problem you must apply the proccedure shown below:
1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.
2. Therefore, you have:
Sinα=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.