Question

Janet is building a house. The steeple is 5 m tall. The walls are 3 m tall. The face of the house is 10 m wide. What is the length of the angled part of the roof?

A) 4 m
B) 5 m
C) 8 m
D) 9 m

Answer 1

To find the length of the angled part of the roof, subtract the steeple and wall heights from the total height of the house. Use the Pythagorean theorem with the height and half the width of the face of the house to calculate the length of the angled roof. The length is approximately 9.4 m.

Step-by-step explanation:

To find the length of the angled part of the roof, we can subtract the height of the steeple and the height of the walls from the total height of the house. The total height of the house is 5 m (steeple) + 3 m (walls) = 8 m. Since the face of the house is 10 m wide, the angled part of the roof can be found using the Pythagorean theorem. The angled part of the roof is the hypotenuse of a right triangle with the height of the house as one of the legs and half of the width of the face of the house as the other leg. Using the Pythagorean theorem, we can calculate the length of the angled part of the roof:

a2 = b2 + c2

a2 = 82 + 52

a2 = 64 + 25

a2 = 89

a = √89 ≈ 9.4 m

Therefore, the length of the angled part of the roof is approximately 9.4 m.