trigo

how do i do this question?

a tower stands on top of a cliff. at a distance of 55m from the foot of the cliff, the angles of elevation of the top of the tower as well as the cliff are 60degrees and 45degrees respectively. what is the height of the tower?

Draw a figure. Convince yourself that
Cliff height = 55 tan 45
Cliff height + Tower height = 55 tan 60

Now one bit of subtraction will give you the answer

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