# maths

1a).A tower and a building stand on the same horizontal level.
From the point P at the bottom of the building, the angle of elevation of the top T,of the tower is 65°. From the top Q of the building, the angle of elevation of the point T is 25°. If the building is 20m high,Calculate the distance PT.
1b). Hence or otherwise calculatethe height of the tower ( give your answer to 3 significant figures)?

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3. 👁 20
Look at triangle PQT
angle QPT = 25° , (90-65)
angle PQT = 115°

so you can find angle QTP
then by the sine law:
PT/sin115° = 20/sin(QTP)

all yours from here ....

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2. 👎 0

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