Question

If your distance from the foot of the tower is 20 m and the angle of elevation is 40°, find the height of thetower.

Answer 1

We have to use the tangent of angle 40 to find the height of the tower.

`\text{tan(angle) = }\frac{opposite\text{ side}}{\text{adjacent side}}`

The adjacent side is 20m, and the angle is 40 degrees, then

`\tan (40)\text{ = }\frac{height\text{ of the tower}}{20m}`
`\text{height = 20m }\cdot\text{ tan(40) = 20m }\cdot0.84\text{ = }16.8m`

Therefore, the height of the tower is 16.8m