A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of elevation pf the top of the tower to be 50°. What is the height of the tower?

The angle of elevation of the top of a tower from an observer on the ground is 60°.
If the top of the tower is 100 m away from the observer,
how high is the tower?

Two towns P(θ°N, 7°E) and Q(θ°N, 29°W) are separated by a distance of 2,002 km, measured along the parallel of latitude.
If R = 6,370 km and π = 22/7,
the value of θ is

Three cities Cape Town, Prague and Tbilisi are such that Prague is located 50 km away from Cape Town on a bearing of 065°.
Tbilisi is 100 km away from Cape Town on a bearing of 305°.
The bearing of Tbilisi from Prague is approximately

A girl walks 30 m from a point P on a bearing of 040º to a point Q.
She then walks 30 m on a bearing of 140º to a point R.
How far is R from P

The bearing of a point P from a point Q is 065°.
What is the bearing of Q from P?

 The value of
(sin35°/cos 55°) + (cos 15°/ sin 75°) is

An inelastic string of length 1.0 m anchored to a point X has a stone tied to the end Y.
How high does the stone rise when the string XY is inclined at 30° to the original vertical position?

Two towns are θ° apart on the same meridian.
If the earth's radius is 6,370 km π = 22/7,
their distance apart in km is approximately

cos 65° is equal to

Simplify the expression 

can be simplified to

A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as 40°. If he is 15 m from the pole, what is the height of the pole?

If cos θ = 4/5,
then for 0° < θ < 90°,
tanθ is equal to

Two cities are both on longitude 55°E.
If their latitudes are 5°S and 65°S and R = 6,400 km,
their distance apart in km is

Amanda walks 30 m from a point P on a bearing of 040º to a point Q.
She then walks 30 m on a bearing of 140º to a point R.
What is her bearing from P to R?

The value of
2cos 270° + sin 270° is

Which of the following have the same value as sin 15°?
I. sin 165°
II. sin 285°
III. sin (-15°)
IV. sin (-195°)

Two of the angles of a triangle are 120° and 45°.
If the side facing the angle 45° is 10cm long,
then the side facing the angle 120° is

sin 38° has the same value as

The two perpendicular sides of a right-angled triangle are 9 cm and 12 cm in length.

The smallest angle of the triangle is

For any value of θ, the value of

is

X and Y are two lakes on the earth's surface.
X has a latitude 34°N and Y has latitude 15°S.
If the lakes are on the same meridian ,
calculate the distance between them along the meridian
(Take 2πR = 40,000 km)

If there is no stop-over at Dubai, and the average speed of the airplane is 500km/hr, the total time taken for the plane to fly from Lagos to Kuala Lumpur via Dubai is approximately

A tree on the bank of a river is 24 m tall.
If the angle of depression of a point on the opposite bank of the river is 30°,
the width of the river is

Each of two angles of an isosceles triangle is 30° and the longest side of the triangle is 9 cm.
Each of the other sides is of length