1.
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
2.
sin 38° has the same value as
3.
A motorist travels from Abuja on a bearing of 150° to Kaduna 40 km away.
From Kaduna he travels to Lagos on a bearing of 210°.
If Lagos is located directly South of Abuja, how far is Lagos from Abuja?
4.
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)
5.
Sin 38° has the same value as
6.
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
7.
Given that sin θ = 4/5,
the value of (1 - cos²θ)
for 0°< θ < 90° is
8.
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
9.
The bearing of a point P from a point Q is 065°.
What is the bearing of Q from P?
10.
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)
11.
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
12.
Cotonou and Niamey are on the same line of longitude and Niamey is 7°N of Cotonou.
If the radius of the earth is 6400 km,
how far is Niamey North of Cotonou along the line of longitude in km, π = 22/7
13.
The values of tan 225° and tan 315° are respectively
14.
Solve the equation
4sinθ - 1 = -3
for 0° < θ < 2π
15.
If tan θ = 2/3,
then sec²θ equals
16.
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
18.
If tan θ = 5/12,
then the value of sin θ - cos θ is
19.
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?
21.
The value of
1 + sec²60° is
22.
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
23.
The value of
2cos 270° + sin 270° is
24.
If cos θ = 4/5,
then for 0° < θ < 90°,
tanθ is equal to
25.
Which of the following have the same value as sin 15°?
I. sin 165°
II. sin 285°
III. sin (-15°)
IV. sin (-195°)
