Question

A ladder leans against a house at a 60° angle to the ground. If the ladder extends to a length of 158 inches, what is the height of the house, rounded to the nearest hundredth of an inch?

Answer 1

To find the height of the house using trigonometry, we can use the sine function and solve for h.

Step-by-step explanation:

To find the height of the house, we can use trigonometry. The ladder forms a right triangle with the house and the ground. Since the ladder leans against the house at a 60° angle, we can use the sine function to find the height of the house. Let h represent the height of the house:

sin(60°) = h/158

By rearranging the equation, we can solve for h:

h = 158 * sin(60°)

Using a calculator, we find:

h ≈ 136.80 inches