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# The angle of depression of a boat from the top of a cliff 10m high is 30. How fa...

### Question

The angle of depression of a boat from the top of a cliff 10m high is 30. How far is the boat from the foot of the cliff?

### Options

A) $$\frac{5√3m}{3}$$

B) 5√3m

C) 10√3m

D) $$\frac{10√3m}{3}$$

### Explanation:

RQP = 90o
PQS = 30o but
RQS = 90o = $$\frac{RS}{10}$$
RS = 10 tan 60o
RS = 10 tan 60o
RS = 10√3m

## Dicussion (1)

• RQP = 90o
PQS = 30o but
RQS = 90o = $$\frac{RS}{10}$$
RS = 10 tan 60o
RS = 10 tan 60o
RS = 10√3m