Question

depression of the point A from the top
(Take 13 = 1.732)
32. A vertical pole and a vertical tower are on the same level ground. From the top of the
pole, the angle of elevation of the top of the tower is 60° and the angle of depression
of the foot of the tower is 30°. Find the height of the tower if the height of the pole is
(2008)
20 m high the angle of elevation of the top of a monument
20 m.
11 mont​

Answer 1

Step-by-step explanation:

☛Question:-

A vertical pole and a vertical tower are on the same level ground. From the top of the

pole, the angle of elevation of the top of the tower is 60° and the angle of depression

of the foot of the tower is 30°. Find the height of the tower if the height of the pole is? 20 m high the angle of elevation of the top of a monument 20 m.

☞Answer:-

Given:-

• Angle of the top of the tower is 60°.
• Angle of the foot of the tower is 30°.
• Angle of the elevation is 20m.

To find:-

• The total height of the pole.

Solution:-

Let AB be the tower and CD be the pole.

As, given in the question BE = 20m

$In \: △ \: BCA , \: tan \: 30° = \: \frac{20}{CE}$

$= > \: \frac{1}{ \sqrt{3} } = \: \frac{20}{CE}$

$∴CE \: = \: 20 \sqrt{3}$

$Now, \: in \: △ \: ACE \: tan60° = \: \frac{h}{CE}$

$= > \sqrt{3} \: = \: \frac{h}{20 \sqrt{3} }$

$= > \: h \: = \: 60$

⇛$height \: of \: the \: tower \: = \: 60 + 20 \: = \: 80m.$