The angle of depression from an observer from the top of a cliff to a boat is \({4^o}\). The cliff is 40m above sea level. The horizontal distance from the boat to the cliff is?

The angle of elevation from a point on level ground to the top of a tree is \({20^\circ}\). From a point 10m closer to the base of the tree the angle of elevation is \({45^\circ}\) to the top of the tree. How high is the tree?

A boat sails from a point in the direction N\({20^o}\)E. After the boat has sailed for 10km, how far is it due east of the point?

The bearing angle of point P from point Q is \({210^o}\). Find the bearing angle of point Q from point P.

\(\tan \theta = \frac{1}{2}\). The value to the obtuse angle to the nearest degree is?

Find the area of the following triangle.

Find the length of AB, correct to one decimal place.

Find \(\angle P\) to the nearest minute.

Find the smallest angle to the nearest degree.

Find the length of BC

Given the radial survey in the adjacent diagram, the area of \(\)AOC is?