Question

A sphere weighs 1200N. It is supported by two planes at 35⁰ and so to the horizontal respectively, calculate the supportzeactions ???
please answer me fast
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Answer 1

Let the aeroplane be at B and let the two ships be at C and D such that their angles of depression from B are 60

∘

and 30

∘

respectively.

We have AB = 1200 metres. Let AC = x and CD = y.

In ΔCAB , we have.

tan60

∘

=

CA

AB

⇒

3

=

x

1200

⇒x=

3

1200

=400

3

In ΔBAD , we have

tan30

∘

=

AD

AB

⇒

3

1

=

x+y

1200

⇒x+y=1200

3

⇒y=1200

3

−x

⇒y=1200

3

−400

3

=800

3

=800×1.732=1385.6

Hence, the distance between the two ships is 1385.6 metres.