Question

When the Sun's angle of elevation is 73", a tree tilted at an angle of 5' from
the vertical casts a 20-foot shadow on the ground. Find the length of the
tree to the nearest tenth of a foot

Answer 1

The 73° elevation of the Sun the 20 ft. length of the shadow and the inclination of tree of 5° gives the length of the tree as 66 ft.

How can the length of the tree be found?

Angle of elevation of the Sun = 73°

Tilt of the tree = 5°

Length of shadow = 20 ft.

The shadow is cast by the height of the tree, from trigonometric ratios therefore;

20 × tan(73°) = 65.4 = Height of the tree

Length of the tree = 65.417/cos(5°) = 65.7 = 66

Which gives;

• Length of the tree = 66 ft.

Learn more about trigonometric ratios here;

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