1. ## trigonometry angle problem

A straight path makes an anlge of 6 degrees with the horizontal. A statue at the higher end of the path casts a 6.5 meter shadow straight down the path. The angle of elevation from the end of the shadow to the top of the statue is 32 degrees. How tall is the statue?

2. Originally Posted by victorfk06
A straight path makes an anlge of 6 degrees with the horizontal. A statue at the higher end of the path casts a 6.5 meter shadow straight down the path. The angle of elevation from the end of the shadow to the top of the statue is 32 degrees. How tall is the statue?
1. Draw a sketch.

2. Let s denote the length of the statue, x the displacement of the path from the horizontal plane, y the horizontal part of the shadow.

3. Calculate:

$y = 6.5 \cdot \cos(6^\circ)$

$x = 6.5 \cdot \sin(6^\circ)$

$s = y \cdot \tan(38^\circ) - x$

4. For your confirmation only I've got $s \approx 4.37\ m$