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1. From a point on the ground, the angles of elevation of the bottom and top of a tower fixed at the top of a \(30 \ m\) high building are \(45^\circ\) and \(60^\circ\) respectively. Find the height of the tower. \((\sqrt{3} = 1.732)\)
Answer:
The height of the tower is \(m\).
[Note: Enter your answer up to two decimal places.]
2. Two ships are sailing in the sea on either sides of a lighthouse. The angle of elevation of the top of the lighthouse as observed from the ships are \(30^{\circ}\) and \(45^{\circ}\) respectively. If the lighthouse is 200 \(m\) hight, find the distance between the two ships. \(\sqrt{3} = 1.732\).
Answer:
The distance between the two ships is \(m\).
(Note: Write in \(1\) decimal place.)
3. A pole \(5 \ m\) high is fixed on the top of a tower. The angle of elevation of the top of the pole observed fro a point '\(A\)' on the ground is \(60^{\circ}\) and the angle of depression to the point '\(A\)' from the top of the tower is \(45^{\circ}\). Find the height of the tower. \(\sqrt{3} = 1.732\)
Answer:
The height of the tower \(=\) \(m\).
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