Mathematics Practice Test – Trigonometry

The positions of three ships P, Q and R at sea are illustrated in the diagram. The arrows indicate the North direction. The bearing of Q from P is 050^o and angle PQR = 72^o. Calculate the bearing of R from Q.

A. 130^o     B. 158^o    C. 222^o     D. 252^o

An object is 6m away from the base of a mast. The angle of depression of the object from the top of the mast is. Find correct to 2 decimal places, the height of the mast.

A. 8.60m    B. 7.51m    C. 7.15m    D. 5.04m

The bearing of Y from X is 060^o and the bearing of Z from Y = 060^o. Find the bearing of X from Z.

A. 300^o     B. 240^o     C. 180^o     D. 120^o

In a right angled triangle, if tan θ = . What is cos θ - sin θ?

A.      B.      C.      D.

If Cos θ = , what is the value of Tan θ for 0° < θ < 90°

A. 13     B. 5     C.     D.