Posted by **Rin** on Thursday, January 27, 2011 at 9:44am.

The eaves of a roof sloping at 23° overhand the walls, the edge of the roof being 75 cm from the top of the wall. The top of the wall is 5.4 metres above the ground. What is the height above the ground of the edge of the roof, to the nearest centimeter?

- MATH -
**helper**, Thursday, January 27, 2011 at 11:04am
If I am picturing this correctly, a right triangle is formed, with the hypotenuse c = 75 cm.

Since the top of the wall is 5.4 m above ground, 5.4 - side a = height above ground to the roof edge.

Angle A = 180 - (23 + 90) = 82 degrees

sin 82 = op/hyp = a/c = a/75

0.9903 = a/75

a = 74 cm

5.4 m /100 = 540 cm

540 cm - 74 cm = 466 cm

466 cm = height above ground to roof edge

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