Question

Find the height of the lamppost to the nearest inch.

Answer 1

The height of lamp post to nearest inch is 110 inches

Solution:

We have to find the height of lamppost

From the figure in question,

Given is a right angled triangle

Where,

base = 40 inches

height = ?

By definition of tan,

$tan\ 70 = \frac{opposite}{base}\\\\tan\ 70 = \frac{height}{40}\\\\height = tan\ 70 \times 40\\\\height = 2.7474 \times 40\\\\height = 109.89 \approx 110$

Thus height of lamp post to nearest inch is 110 inches