Question

from the top of lighthouse 60mts height with it's base at sea level.the angle of depression of the boat is 15 degrees.The distance of the boat from the foot of lighthouse is​

Answer 1

Answer:

230.7m

Step-by-step explanation:

If the angle of depression from lighthouse to boat is 15˚, then the angle of elevation from boat to lighthouse will also be 15˚(alternate interior angles).

So,

Imagine the lines joining the top of lighthouse with the boat with the foot of lighthouse forms a right-angled triangle. Then,

tan15˚ = height of lighthouse/distance b/w boat and lighthouse

tan15˚ = 60/x

0.26 = 60/x

∴x=230.7m

So, the distance between boat and lighthouse is 230.7m.

SORRY I COULDN'T PROVIDE DIAGRAM :(

Answer 2

height of lighthouse = 60m

angle of depression =15°

so distance =height of lighthouse/tan15°

distance=60/4-2√3

30/2-√3

30/0.268

111.94m

hope it helped

plz mark brainliest