3. Two mark example problems

1. Calculate the size of \(\angle BAC\) in the given triangles. (\(tan \ 38.7^{\circ} = 0.8011\), \(tan \ 69.4^{\circ} = 2.6604\))

 

Answer:

 

 

The size of \(\angle BAC\) in the figure (a) is $i\mathrm{°}$.

 

 

The size of \(\angle BAC\) in the figure (b) is $i\mathrm{°}$.

 

2. A tower stands vertically on the ground. From a point on the ground, which is \(48 \ m\) away from the foot of the tower, the angle of elevation of the top of the tower is \(30^\circ\). Find the height of the tower.

 

Answer:

 

The height of the tower is $i\sqrt{i}m$.

 

3. A player sitting on the top of a tower of height \(20 \ m\) observes the angle of depression of a ball lying on the ground as \(60^\circ\). Find the distance between the foot of the tower and the ball. \((\sqrt{3} =1.732)\).

 

Answer:

 

 

4. A kite is flying at a height of \(75 \ m\) above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is \(60^{\circ}\). Find the length of the string, assuming that there is no slack in the string.

 

Answer:

 

The length of the string \(=\) $i\sqrt{i}i$

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