A bearing of 310°, expressed as a compass bearing 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

Point P(60°S,22°E) lies on the same latitude as point Q.
If the distance PQ measured along the parallel of latitude is 5,oo5 km,
the radius of the earth is 6.370 km and π = 22/7,
the longitude of point Q is

The latitudes on which the radius of the parallel of latitude is one-half of the earth's radius are

If sin-¹(0.966) = 75°,
then sin-¹(-0.966) equals

An observer standing on the top of a building 40 m high views a stone on the ground level at an angle of depression of 38°.
The distance of the stone from the foot of the building in metres, is equal to

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

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

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?

From a point P 30 m away from the foot of a tree, the angle of elevation of the top of the tree is 30°.
From a point Q on the opposite side of the tree, the angle of elevation of the top of the three is 45°.
The distance between P and Q is

Given that tan²θ + sec²θ = 3,
the value of θ
(for 0°<θ<90°) is

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

If the bearing of New York from Kansas city is 125°,
the bearing of Kansas city from New York is?

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?

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

If cos θ > 0 and sin θ < 0, then

An aircraft flies from Jordan(30°S, 44°E) to Riyadh(30°S, 28°W) in 26/3 hours.
If radius of the earth is 6,370 km, π = 22/7, and the plane flies along the parallel of latitude,
its average speed, to the nearest kilometer is

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

If cos θ = √3/2, evaluate 

The sine, cosine and tangent of 240° are, respectively

The bearing of N75°W can also be expressed as

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°.

sin 38° has the same value as

Two locations on the equator are on longitudes 20°W and 70°E respectively.
If R = 6,370 km and π = 22/7, their distance apart along the equator, correct to 2 significant figures 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?