29. Five mark exercise problems V

1. If \(cos \ \theta : sin \ \theta = 1 : 2\), then find the value of \(\frac{8 \ cos \ \theta - 2 \ sin \ \theta}{4 \ cos \ \theta + 2 \ sin \ \theta}\).

 

Answer:

 

\(\frac{8 \ cos \ \theta - 2 \ sin \ \theta}{4 \ cos \ \theta + 2 \ sin \ \theta} =\) $\frac{i}{i}$

 

2. A boy standing at a point \(O\) finds his kite flying at a point \(P\) with distance \(OP = 25 \ m\). It is at a height of \(5 \ m\) from the ground. When the thread is extended by \(10 \ m\) from \(P\), it reaches a point \(Q\). What will be the height \(QN\) of the kite from the ground? (use trigonometric ratios)

 

 

Answer:

 

The height of the kite from the ground \(=\)  \(m\)