Thread: Angles problems

The angle of depression of a boat 50m from the base of a cliff is 30degree. How high is the cliff? Give your answer correct to 3 decimal places.

Hello, sakibniaz!

Did you make a sketch?

The angle of depression of a boat 50m from the base of a cliff is 30°.
How high is the cliff? . Give your answer correct to 3 decimal places.

Code:

    A * - - - - - - - - - - D
      |  *  30°
      |     *
      |        *
    h |           *
      |              *
      |                 *
      |                30° *
    C *-----------------------* B
      : - - - - 50  - - - - - :

The cliff is:

The boat is at
.Hence: .

In right triangle

Now solve for