Question

A 50-foot tree casts a shadow 9 feet long. The sine of the angle between the ground and the line that connects the top of the shadow to the top of the tree is approximately

Answer 1

1foot = 0.305m
50feet = 15.24m
9feet = 2.7m

Let the angle = x

According to SOHCAHTOA,

Tan x = opposite/adjacent

Tan x = 2.7m/15.24m = 0.177

Hence x = tan^-1 (0.177)

x = 10.03 degrees