Question

Last question of the night I think.
​ What is h, the height in meters of the triangle?

Answer 1

9514 1404 393

Answer:

9 m

Explanation:

A 30°-60°-90° triangle is a "special" right triangle. It is worthwhile to remember that the ratio of side lengths is ...

1 : √3 : 2

The shortest side (h) is 1/2 the length of the longest side (18 m).

h = 9 m

_____

In case you want to exercise your trigonometry, you recognize that the sides of interest in the question are the side opposite the angle, and the hypotenuse. The appropriate relation is ...

Sin = Opposite/Hypotenuse . . . . . . . from SOH CAH TOA

sin(30°) = h/(18 m)

h = (18 m)sin(30°) = (18 m)(1/2)

h = 9 m