# UTME/SSCE Mathematics Practice Tests – Trigonometry

Mathematics Practice Tests (SS1 – SS3) – Trigonometry

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A man is standing on the corridor of a 10 storey building and looking down at a tall tree in front of the building. He sees the top of the tree at an angle of depression of 30o. If the tree is 200 m tall and the man’s eyes are 300 m above the ground, calculate the angle of depression of the foot of the tree as seen by the man.

A 30o    B. 60o    C. 45o    D. 75o

Evaluate Tan 765°

A. 1     B. 2     C. $\frac{1}{3}$     D. $\frac{1}{2}$

In the diagram, the height of a flag pole (TF) and length of its shadow (FL) are in the ratio 6:8. Using K as a constant of proportionality, find the shortest distance between T and L.

A. 7K units     B. 10K units     C. 12K units     D. 14K units

If sec2θ + tan2θ = 3, then the angle θ is equal to ______

A. 30o      B. 45o       C. 60o        D. 90o

A kite flies on a taut string of length 50 m inclined at an angle of to the horizontal ground. The height of the kite above the ground is _____

A. 50 tan36o     B. 50 sin54o     C. 50 tan54o     D. 50 sin36o

If cos (x + 40o) = 0.0872, what is the value of x?

A. 85o    B. 75o     C. 65o     D. 45o

If sin xo = $\frac{a}{b}$, what is sin (90 - x)o ?

A.  $\frac{a}{b}$     B.  1 -  $\frac{a}{b}$     C. $\sqrt{\frac{b^{2}-a^{2}}{b}}$     D. $\sqrt{\frac{a^{2}-b^{2}}{b}}$

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

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

Evaluate: Cos (-300)

A. 1     B. 2     C. $\frac{1}{3}$     D. $\frac{1}{2}$

If Sin θ = $\frac{3}{5}$, find Tan θ for 0° < θ < 90°

A. $\frac{4}{5}$      B. $\frac{3}{4}$      C. $\frac{5}{8}$      D. $\frac{1}{2}$

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