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

Answer:

$Height=\frac{145}{\tan 65^{\circ}}$  can be used  to calculate the height of the river dam.

The height of dam is 67.61 m

Step-by-step 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

$\tan\theta=\frac{perpendicular}{base }$

For the given triangle , we have

$\theta=65^{\circ}$ and  base = height and perpendicular =  145 m

Substitute, we get,

$\tan 65^{\circ}=\frac{145}{height}$

Solve for height, we have,

$Height=\frac{145}{\tan 65^{\circ}}$

height = 67.61 m

Thus, the height of dam is 67.61 m