SOLUTION: The gable end of the roof shown is divided in half by a vertical brace. Find the vertical distance h (in ft) from an eave to the peak. 48 ft 25 ft A side view of a building is

Question 1177239: The gable end of the roof shown is divided in half by a vertical brace. Find the vertical distance h (in ft) from an eave to the peak.
48 ft 25 ft
A side view of a building is given. A triangle is shown on the building.
The left side of the roof goes up and right and is labeled 25 ft.
The left side of the roof meets the right side of the roof at the top of the building. The right side of the roof goes down and right, and ends at the same height as where the left side started.
A horizontal line connects the beginning point of the left side of the roof to the end point of the right the side roof. It is labeled 48 ft and forms a triangle with the roof.
A dashed line labeled h starts at the top of the building and goes vertically down to meet to the horizontal line at a right angle.

Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!

According to your description of the drawing, one part of the roofline forms the hypotenuse of a right triangle where one leg is one-half of the horizontal distance from eave to eave (namely 24 feet), and the other leg is the desired distance

. Use Pythagoras to calculate the desired distance or look up a Pythagorean triple with 25 and 24 as two of the numbers.

John

My calculator said it, I believe it, that settles it

From
I > Ø

RELATED QUESTIONS
The gable end of the roof shown is divided in half by a vertical brace. Find the distance (answered by mananth)

The gable end of the roof shown is divided in half by a vertical brace. Find the distance (answered by mananth)

Find the slope of the roof. 7 ft 28 ft A house is shown with a roof that slants up and... (answered by ikleyn)

Find the Slope of the roof A house is shown with a roof that slants up and right,... (answered by josgarithmetic)

Find the Slope of the roof A house is shown with a roof that slants up and right,... (answered by Boreal)

Find the slope of the roof A house is shown with a roof that slants up and right,... (answered by ikleyn)

Need to find the equations for x in this word problem. Thanks! A projectile is... (answered by fractalier)

A projectile is launched at an approximately 60-degree angle to the horizontal with an... (answered by ankor@dixie-net.com)

A 200-ft diagonal brace on a bridge connects a support of the center of the bridge to a... (answered by mananth)