Question

The picture below shows a portion of a river dam:

Which of the following can be used to calculate the height of the river dam?

Answer 1

check the picture below.

Answer 2

`Height=(145)/(\tan 65^(\circ))` can be used to calculate the height of the river dam.

The height of dam is 67.61 m

Explanation:

Given : A picture showing a portion of a river dam.

We have to find the height of river dam.

Using trigonometric ratios,

Since, tangent is defined as the ratio of perpendicular to its base.

Mathematically written as

`\tan\theta=(perpendicular)/(base )`

For the given triangle , we have

`\theta=65^(\circ)` and base = height and perpendicular = 145 m

Substitute, we get,

`\tan 65^(\circ)=(145)/(height)`

Solve for height, we have,

`Height=(145)/(\tan 65^(\circ))`

height = 67.61 m

Thus, the height of dam is 67.61 m