# Question #a3e64

May 30, 2016

20.45 meter

#### Explanation:

Call h the height of the observation deck, above the top of mountain.
The angle t that observes this height h -->
$t = {15}^{\circ} 9 - {15}^{\circ} 7 = {0}^{\circ} 2$ --> tan t = 0.003526
The distance d from the observer to the tower:
d = 5,800 m,
the height is given by the formula:
$\tan t = \frac{h}{d}$ --> h = (tan t)(d)
h = (0.003526)(5,800) = 20.45 m