Question

A balloon is connected to a meteorological ground station by a cable of length 215 m inclined at ${60}^o$ to the horizontal. Determine the height of the balloon from the ground. Assume that there is no stack in the cable.

• A. 175 m
• B. 186 m
• C. 190 m
• D. 204 m

Answer 1

The correct option is B 186 m

Let $A$ be the position of the balloon.

In right triangle $ABC,$

$\sin {60}^o=\frac{AB}{AC}$

$AB=215\sin {60}^o$

$AB=215\times \frac{\sqrt{3}}{2}$

$AB=186m$