Question

from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff​

Answer 1

To calculate the height of the cliff, we can use similar triangles and trigonometric ratios.

Step-by-step explanation:

To calculate the height of the cliff, we can use similar triangles and trigonometric ratios. Let's denote the height of the cliff as 'h'.

First, we calculate the distance from the ship to the lighthouse using the angle of elevation. Using tangent:

tan(31°) = h/d

d = h/tan(31°)

Similarly, we calculate the distance from the ship to the bottom of the lighthouse:

tan(26°) = (h - 25.0m)/d

Substituting the value of 'd' from the first equation:

tan(26°) = (h - 25.0m)/(h/tan(31°))

Simplifying this equation will give us the value of 'h'.

Answer 2