Two  locations on the parallel of latitude φ°S have a difference in longitude of θ°.
If R = 6,370 km and π=22/7,
the distance between the two locations in km, is approximately

If cos θ = sin 50°,
then θ is

If the radius of the earh is 6,370 km, the distance between two towns on latitudes 25°N and 20°S on the same meridian is (π = 22/7)

If cos θ = √3/2, evaluate 

Two cities London and Lagos are on latitude 60°N and their longitudes are 17°W and 28°E respectively.
If R = 6,370 km and π = 22/7, the distance between London and Lagos, measured along the parallel of latitude 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?

Three cities London, Seoul and Harare are such that Seoul is located 50 km away from London on a bearing of 065°.
Harare is 100 km away from London on a bearing of 305°.
The distance between Seoul and Harare is

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

The smallest angle of the triangle is

A bearing of 310°, expressed as a compass bearing is

The value of
sin(870°) is

Three locations on the surface of the earth are Mumbai(45°N, 20ºE), Guanzhou(45°N, 40°E) and Ibadan(45°S, 40°E). Which of the following statements are correct?
I. Guanzhou and Ibadan are on the same longitude.
II. Guanzhou and Ibadan are on the same latitude.
III. The difference between the longitudes of Mumbai and Guanzhou  is 60°.
IV. The difference between the latitudes of Mumbai and Ibadan is 90°.

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

An isosceles triangle of sides 65 mm, 65 mm and 50 mm is inscribed in a circle.
The radius of the circle is

From an observation point close to the edge of the sea, a ship is 14 km away on a bearing of 130°.
A second ship is 48 km away on a bearing of 220º.
The distance separating the ships is

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

The value of
is

The angle of elevation of the top of a tree from a point P and the ground is 30°. From a point Q, 10 m closer to the foot of the tree, the angle of elevation is 45°.
How tall is the tree?

If the radius of the earth is 6,370 km, the distance between two towns on latitudes 25°N and 20°S on the same meridian is (π = 22/7)

Solve the equation
4sinθ - 1 = -3
for 0° < θ < 2π

From the top of a 100m high building, a man observes the top of a tree at an angle of depression of 30°.
If the tree is 50 m tall, the angle of depression of the foot of the tree as viewed by the man is

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

In a triangle PQR, <PQR = 60°, PQ = 3 cm and QR = 4 cm.
Find |PR|

Given that sin θ = √3/2 and cos θ = -½.
The value of θ is

Points X and Y are respectively 48m North and 20m East of point Z.
The distance /XY/ is

If sin θ = x,
the value of tan θ for 0° < θ < 90° is