Points X and Y are 20km North and 9km East of point O, re...
Points X and Y are 20km North and 9km East of point O, respectively. What is the bearing of Y from X? Correct to the nearest degree.
24°
56°
127°
156°
Correct answer is D
\(\tan \theta = \frac{9}{20} = 0.45\)
\(\theta = \tan^{-1} (0.45) \)
= 24.23°
\(\therefore\) The bearing of Y from X = 180° - 24.23°
= 155.77°
= 156° (to the nearest degree)
Solve: \(log_3 x + log_3 (x - 8) = 2\)...
A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is...
Simplify 3\(\sqrt{45} - 12\sqrt{5} + 16\sqrt{20}\), leaving your answer in surd form....
The interior angles of a pentagon are 126o, 114o, y, 92o and 83o. Find the value of y....
p = \(\begin{vmatrix} x & 3 & 0 \\ 2 & y & 3\\ 4 & 2 & 4 \end{vmatrix}\) Q = \(\begin{vmatrix} x ...
In the figure, PQ is a parallel to ST and QRS = 40o. Find the value of x...
Calculate the mean deviation of the first five prime numbers. ...
If S = (x : x\(^2\) = 9, x > 4), then S is equal to...
Three of the angles of a hexagon are each Xo. The others are each 3Xo. Find X...