9. Five mark exercise problems I

1. To a man standing outside his house, the angles of elevation of the top and bottom of a window are \(60^{\circ}\) and \(45^{\circ}\) respectively. If the height of the man is \(180 \ cm\) and if he is \(5 \ m\) away from the wall, what is the height of the window? (\(\sqrt{3} = 1.732\))

 

Answer:

 

The height of the window \(=\)  

 

 

2. A statue \(1.6 \ m\) tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is \(60^{\circ}\) and from the same point the angle of elevation of the top of the pedestal is \(40^{\circ}\). Find the height of the pedestal. (\(tan \ 40^{\circ} = 0.8391\), \(\sqrt{3} = 1.732\))

 

Answer:

 

The height of the pedestal \(=\)  

 

 

3. The top of a \(15 \ m\) high tower makes an angle of elevation of \(60^{\circ}\) with the bottom of an electronic pole and angle of elevation of \(30^{\circ}\) with the top of the pole. What is the height of the electric pole?

 

Answer:

 

The height of the electric pole \(=\)