ElJeffe
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Roof trusses often use right triangles to make a flimsy 2 × 4 more rigid to hold up the weight of the roof. If a house is 40 feet wide and the roof is an isosceles triangle with base angles of 30 degrees, how far is it from the bottom edge of the roof to the peak?

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Tsimmons6598
the side length would be 23.094010767585
facundo3141592

By defining right triangles and using trigonometric relations, we will see that the distance is 11.5 feet.

how far is it from the bottom edge of the roof to the peak?

We have an isosceles triangle whose base measures 40ft.

Then we can make two right triangles with a base of 20ft.

We know that the angle to which the base is adjacent measures 30°, then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

Where the opposite cathetus is the distance from the bottom edge to the peak, then we will have:

tan(30°) = H/20ft

tan(30°)*20ft = H = 11.5ft

The distance between the bottom edge and the peak is 11.5 feet.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

#SPJ2

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