Cape Beale Lighthouse, BC, is on a cliff that is 51 m above sea
level. The lighthouse is there
to warn boats of the danger of
shallow waters and the
possibility of rocks close to the
shore. The safe distance for
boats from this cliff is 75 m. If
the lighthouse keeper is 10 m
above ground and observes a
boat at an angle of depression
of 50°, is the boat a safe
distance from the cliff? Justify
your conclusion.

Unsafe area

Step-by-step explanation:

Data provided in the question

51 m above sea level

The Safe distance from cliff = 75 m

The 10 m above ground and angle of depression of 50°

Based on the above information,

The equation is as follows

tan 50 = (51 + 10) ÷ x

where

x =  distance of the boat

Now after solving this,

x = 51.2 m  

Therefore we conclude that the boat is in an unsafe area

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Step-by-step explanation: