2. From the top of a 150 m lighthouse, the angles of depression of two boats on the shore are 20° and
50°, respectively. If they are due north of the observation point, find the distance between them.
patulong po please (・ัω・ั)
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2. From the top of a 150 m lighthouse, the angles of depression of two boats on the shore are 20° and
50°, respectively. If they are due north of the observation point, find the distance between them.
patulong po please (・ัω・ั)
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Answer:
Let AB be the lighthouse and the two ships be at point C and D respectively.
⇒ In △ABC,tan45o=BCAB
⇒ 1=BC150
∴ BC=150m
⇒ In △ABD,tan30o=BDAB
⇒ 31=150+CD150
⇒ 1503=150+CD
⇒ CD=150(3−1) m=109.5 m (Take3=1.73)
∴ The distance between two ships is 109.5m

Explanation:
i hope it well helps and pa mark na din brainliest