Question

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

Answer 1

It's a isosceles triangle

For any triangle

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

• We need H

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

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

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

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