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3 years ago

Find the height of the lamppost to the nearest inch.

Mathematics

1 answer:

diamong [38]3 years ago

7 0

<h3>The height of lamp post to nearest inch is 110 inches</h3>

<em><u>Solution:</u></em>

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

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