The frame for a garage roof is shown below. How long is each of the top pieces? Round to the nearest tenth.

asked Sep 10, 2023 206k views

20 votes

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12 votes

It's a isosceles triangle

For any triangle

$\\ \tt\longmapsto cos\theta=(Base)/(Hypotenuse)$

$\\ \tt\longmapsto cos30=(6)/(H)$

$\\ \tt\longmapsto H=(6)/(cos30)$

$\\ \tt\longmapsto H=(6)/(0.86)$

$\\ \tt\longmapsto H=6.9\approx 7ft$

Ipd answered Sep 16, 2023

by Ipd

4.0k points

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