Question

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º.
Scarlett's height is 1.65 meters, so the height of the dam is
meters.

Answer 1

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Answer 2

Answer:

Height of the dam is 45.45 meters.

Step-by-step explanation:

From the attached figure, AB is the height of dam NM is Scarlett's height. We have to find the height of the dam. NM = CB = 1.65 m

Using trigonometric equations as:

$tan(26)=\dfrac{AC}{NC}$

$tan(26)=\dfrac{AC}{90}$

$AC=tan(26)\times 90$

AC = 43.8 m

So, the height of the dam is AC + CB = 43.8 m + 1.65 m = 45.45 m

Hence, the height of the dam is 45.45 meter.