A husband and wife are building a tiny house for a vacation getaway, and they want to measure the height of the roof of the house to see if they will be able to have a bedroom on the second floor. One side of the house is 18 ft long and the slant height of the roof along this side is 13 ft. The point on the roof\'s peak is above the center of the house. What is the height of the roof of the house? Round your answer to the nearest hundredth. Question 4 options: 9.38 ft 11.28 ft 15.21 ft 9.4

0
(0 stars)

0

By using a

right triangleas a model, we will see thatheightof the roof is 9.38 ft.What is the height of the roof of the house?The slant

heightis equivalent to thehypotenuseof aright triangle, so we know the length of the base and thehypotenuseof aright triangle.Thecathetuswill be half of 18ftWe need to find the other

cathetus, so we can use thePythagorean theorem, if X is the other cathetus we will get:X^2 + (9ft)^2 = (13 ft)^2

X = √( (13 ft)^2 - (9 ft)^2) = 9.38ft

So the

heightof the roof is 9.38 ft.If you want to learn more about

right triangles, you can read:https://brainacademy.pro/question/2217700