A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

The angle, the height of the tree, and the shadow of the tree form a right triangle.

The height of the tree is the side opposite the angle and the shadow is the side adjacent to the angle.

tan  =  opposite / adjacent

tan(26^o)  =  height / shadow

tan(26^o)  =  height / 27

tan(26^o) · 27 = height.

Use a calculator to find the value of tan(26^o) · 27 ...

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.

Tan(26) = Height / Shadow

Tan(26) =H / 27

0.4877325 =H / 27

H =27 x 0.4877325

H =12.681 or ~13 meters - height of the tree.

A tree casts a shadow of 27 meters when the angle of elevation of the sum is 26 degrees. Find the height of the tree to the nearest meter.