A pole stands on a plane which makes an angle of 15 degrees with the horizontal. A wire from the top of the pole is anchored on a point 8m from the foot of the pole. If the angle between the wire and the plane is 30 degrees, find the length (m) of the wire.

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1. 8. A pole stands on a plane which makes an angle of 15 degrees
with the horizontal. A wire from the top of the pole is anchored
on a point 8m from the foot of the pole. If the angle between
the wire and the plane is 30 degrees, find the length (m) of the
wire.

 

2. A tower 30.5 m high is situated on the bank of a river. The
angle of depression of an object on the opposite bank of the
river is 43°. Find the width of the river in meters.

 

3. The area of a triangle is 8346 sq.m. and two of its interior
angles are 37°25’ and 56°17’ respectively. Caclulate the length
(m) of the longest side.

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