From the top of a building 10m high, the angle of elevation of a fruit on top of a tree 25m is 30º. Calculate the horizontal distance between the building and the tree.

a

15\(\sqrt{3}\)m

b

5\(\sqrt{3}\)m

c

25\(\sqrt{3}\)m

d

30\(\sqrt{3}\)m

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a

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Odemosad
1 year ago

Using Pythagoras Theorem :
Oppo = 25-10 = 15
tan30 = 1/√3

tan30 = oppo/adj
1/√3 = 15/x
x = 15√3

Option A

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