from the top of a high-rise building, the angle of depression of a car parked on the ground is found to be 30°.

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September 2023 2 5 Report

from the top of a high-rise building, the angle of depression of a car parked on the ground is found to be 30°. if the car is parked 173m away from the base of the building, find the height of the high-rise building.

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ᴄᴏʀʀᴇᴄᴛ ᴏᴘᴛɪᴏɴ ɪꜱ ʙ)

ɢɪᴠᴇɴ: ʜᴇɪɢʜᴛ =150 ᴍ

ᴀɴɢʟᴇ ᴏꜰ ᴅᴇᴘʀᴇꜱꜱɪᴏɴ =30ᴏ

ᴄᴏɴꜱɪᴅᴇʀ ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ,

ɪɴ Δᴀʙᴄ,

ʟᴇᴛ, ᴅɪꜱᴛᴀɴᴄᴇ ᴏꜰ ᴛʜᴇ ᴄᴀʀ ꜰʀᴏᴍ ᴛᴏᴡᴇʀ ʙᴄ=x ᴍ,

ɪɴ Δᴀʙᴄ,ᴛᴀɴ30ᴏ=ᴀʙᴀᴄ

ꜱᴏ, ᴛᴀɴ30ᴏ=31

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴀᴄ=1503

ꜱᴏ, ᴅɪꜱᴛᴀɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴛᴏᴡᴇʀ ᴀɴᴅ ᴄᴀʀ ɪꜱ 1503

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