Question

The sun is 30 degrees above the horizon. it makes a 51 m long shadow of a tall tree. part a how high is the tree?

Answer 1

Answer: Height of the tree = 29.44m

Explanation:
The Sun is 30 degrees above the horizon, and the shadow of a tree it makes is 51 meters long. The right angled triangle can be constructed, where the base of the triangle is actually the shadow of the tree (which is 51m long) and the perpendicular of a triangle is the height of the tree. By using trignometric equation:

tan(Ф) = perpendicular/base
tan(30) = height-of-a-tree/51
height-of-a-tree = tan(30) * 51
height-of-a-tree = 29.44m

Answer 2

Answer:

Height of the tree must be 29.44 m

Explanation:

Here angle made by the horizon is

$\theta = 30 degree$

also we know that

$tan\theta = \frac{H}{51}$

now from above equation we have

$tan30 = \frac{H}{51}$

$H = 51 tan30$

now we have

$H = 29.44 m$

so height must be 29.44 m