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From the top of a light house 60 meter high, with its base at

Question

From the top of a light house $60$ meter high, with its base at the sea level, the angle of depression of a boat is $3 0^{\circ}$ . The distance of the boat from the foot of the light-house is

603

meters

\frac{60}{3}

meters

60

meters

302

meters

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Oliver Discussed

From the top of a light house

60

meter high, with its base at the sea level, the angle of depression of a boat is

3 0^{\circ}

. The distance of the boat from the foot of the light-house is

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Height of light house

= 60

m
Angle of depression

=

3 0^{\circ}

Let the distance of boat from the light house

=

s

Then, angle of depression

=

angle of elevation

tan ∠

of elevation

=

\frac{height}{distance}

tan 30 = \frac{60}{s}

s = 603

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Question Text	From the top of a light house $60$ meter high, with its base at the sea level, the angle of depression of a boat is $3 0^{\circ}$ . The distance of the boat from the foot of the light-house is
Answer Type	Text solution:1
Upvotes	150