Final answer:
To find the height of the shed, we can use trigonometry. The sine of an angle is equal to the opposite side divided by the hypotenuse. Using this information, we can calculate the height to be approximately 9.397 ft.
Step-by-step explanation:
To find the height of the shed, we can use trigonometry. In this case, we know the length of the ladder is 10 ft and the angle it makes with the ground is 70°. We can use the sine function to find the height.
The sine of an angle is equal to the opposite side divided by the hypotenuse. In this case, the height of the shed is the opposite side and the length of the ladder is the hypotenuse. So, we can write the equation as:
sin(70°) = height/10 ft
Solving for the height, we get:
height = sin(70°) * 10 ft
Using a calculator, we can find that sin(70°) is approximately 0.9397. Multiplying this by 10 ft, we get a height of approximately 9.397 ft. Therefore, the height of the shed is approximately 9.397 ft.