The values of tan 225° and tan 315° are respectively

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

The value of
sin(870°) is

cos 65° is equal to

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

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)

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 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

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)

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

sin 38° has the same value as

Starting from town X(45°N, 17°E), an airplane flies to town Y(45°N, 47°E) along the parallel of latitude and later to a third town Z(60°N, 47°E) along the meridian.
(R = 6,370 km, π= 22/7).
The distance between X and Y along the parallel of latitude in km, is

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

Without using tables,
evaluate sin(- 1320°)

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

The pilot of an airplane flying at an altitude of 2 km observes a landmark at an angle of depression of 25°.
A few seconds later, he observes the landmark at an angle of depression of 50°. The distance between the two points of observation in km is

The hypotenuse of a right-angled isosceles triangle is 8 units.
The length of each of the other sides are

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

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

Simplify the expression 

can be simplified to

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?

The value of
sin (870°) is

The diagonals of  a rhombus are of lengths 10 cm and 24 cm.
The length of each side of the rhombus is

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

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