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?
a) 115/cos50 degrees
b) 115 cos 50
c) 115 tan 50
d) 115/sin 50

Answer 1

115 tan 50

Explanation:

Answer 2

Answer: Option 'C' is correct.

Explanation:

Since we have given that

Distance between dam to the angle of elevation = 115 m

Angle of elevation = 50°

We need to find the "Height of river dam":

We will use "Trigonometric Ratio":

`\tan 50^\circ=(Perpendicular)/(Base)\\\\\tan 50^\circ=(Height)/(115)\\\\115\tan 50^\circ=Height\\\\137.05\ m=Height`

Hence, Option 'C' is correct.