Trigonometry Grade 11 ~ Word Problem

Question

A pine tree with a height of 25 m grows in soft soil. After a storm, the tree forms an angle of 60 ° with the ground. A pine cone falls from the top of the tree to the ground. Determine an expression that represents the exact distance the pine cone traveled during its fall.

Answer 1

Let h be the height of interest that the pine cone fell.

25 meters is the hypotenuse....

sin 60 = h/25

25 * sin 60 = h

25 * sqrt(3)/2 = h is the EXACT