Question

A radar operator on a ship discovers a large sunken vessel lying fiat on the ocean

floor 200 m directly beneath the ship. The operator measures the angks of
depression of the front and back of the sunken ship to be 56° and 62°. How
long is the sunken ship?

Answer 1

try to read the problem over and over

Answer 2

The length of the sunken ship is 28.56m

To calculate the length of the sunken ship , we have to calculate the distance between the beneath of the ship to the front and to the back.

distance between the beneath of the ship to back of the sunken ship

Tan 62 = 200/x

x = 200/tan 62

x = 106.34m

distance between the beneath of the ship to front of the sunken ship

Tan 56 = 200/y

y = 200/tan 56

y = 134.90m

The length of the sunken ship = 134 .90 - 106.34

= 28.56m