Question

the height of the tower is 7/5 of the height of a building, the height of a tree is 1/3 of the building. if the height of the building is 20m taller than the tree, find the height of the building, tower and tree

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Answer 1

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Maths

Some Applications of Trigonometry

Heights and Distances

From the top of a tower 20 ...

MATHS

From the top of a tower 20 m high, the angle of elevation of the top of the building is 45

o

and the angle of depression of its foot is 15

o

. Find the height of the building. (given tan75

o

=3.7321)

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ANSWER

Given,

BC=DE=20m

tan75=

BC

BD

=

20

BD

=3.7321

⇒BD=74.642

tan(∠ADB)=

BD

AB

⇒1=

74.642

AB

Height of tower =AB+BC

=94.642 m

Answer 2

Answer:

The heights of

building=30 m

tower=42m

tree=10m