4. Two mark exercise problems

1. Find the angle of elevation of the top of a tower from a point on the ground, which is \(30 \ m\) away from the foot of a tower of height \(10 \sqrt{3} \ m\).

 

Answer:

 

The angle of elevation is $i\mathrm{°}$

.

2. A road is flanked on either side by continuous rows of houses of height \(4 \sqrt{3} \ m\) with no space in between them. A pedestrian is standing on the median of the road facing a row house. The angle of elevation from the pedestrian to the top of the house is \(30^{\circ}\). Find the width of the road.

 

Answer:

 

The width of the road is  .

 

(Note: Enter the numbers in the first box and the unit (short form) in the second box.)

 

3. From the top of a rock \(50 \sqrt{3} \ m\) high, the angle of depression of a car on the ground is observed to be \(30^{\circ}\). Find the distance of the car from the rock.

 

Answer:

 

The distance of the car from the rock is  .