Question

A 10-foot ladder is leaning against the side of a house.

If the top of the ladder touches the house 9 feet above the ground, what is the angle made by the ladder and the ground?
Check to see if your calculator is in DEGREE mode.
Round to the nearest tenth.

Answer 1

The angle made by the ladder and the ground is 64.2 degrees

Explanation:

Sine = opposite(9) divided by hypotenuse(10)

9/10 =0.9

0.9 (inverse) = 64.15806724

Answer 2

Placing a ladder up against a building will create a right triangle, with the legs being the ground and the building and the hypotenuse being the ladder. Since we have a right triangle and we know two sides, we can use the Pythagorean Theorem to solve for the 3rd:

62+b2=102

36+b2=100

b2=64

b=8

So the ladder will reach 8 feet up.

Hope this helps!