Given that tan x = , where 0° ≤ x ≤ 90°, 1-sin²x/cosx
If sin3y = cos2y and 0° ≤ y ≤ 90°, find the value of y
Given that sin 60° = √3/2 and cos 60° = 1/2 evaluate: 1- sin 60°/ 1+ cos 60°
2 + √3/3
1 - √3/3
1 + √3 /3
2 - √3/3
Find the bearing of X from Y
If /XY/ = 50m, how far cast of X is Y?
If tan x = 1, evaluate sinx + cosx, leaving your answer in the surd form.
If cos (x+25)° = sin 45°, find the value of x.
In the diagram, |LN| = 4cm, <LNM = 90° and tan y = 2/3. What is the area of the ΔLMN?
Q is 32km away from P on a bearing 042° and R is 25km from P on a bearing of 132°. Calculate the bearing of R from Q.
In the diagram, |PQ| = 4cm, |QR| = 6cm, |RS| = 12cm and <QRS = 90°. Find the value of x.
The bearing of a bearing of a point P from another point Q is 310°. If |PQ| = 20m, hw far west of Q is P?
if tan y = 0.404, where y is acute, find cos 2y
In the diagram P, Q and R are three points in a plane such that the bearing of R from Q is 110° and the bearing of Q from P is 050°. Find angle PQR
A ladder 16m long leans against an electric pole. If the ladder makes and angle of 65° with the ground, how r
far up the electric pole does its top reach?
From a point P,R is 5km due west and 12km due south. Find the distance between P and R
From a point R, 300m north of P, a man walks eastwards to a place Q which is 600m from P. Find the bearing of P from Q correct to the nearest degree.
The angle of evevation of the top of a cliff 15 meters high from a landmark is 60°. How far is the landmark from the foot of the cliff? Leave your answer in surd form.
Given that sin (5x - 28)° = cos (3x - 50)°, 0 < x < 90°, find the value of x.
The angle of elevation of the top of a tower from a ppoint on the ground which is 36m away from the foot of the tower is 30°. Calculate the height of the tower.
A point X is on the bearing 342° from a point Y. What is the bearing of Y from X?
A point on the ground is 5m away from the foot of a vertical wall 7m high. Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall.
A ladder, 6cm long, leans against a vertical wall at an angle 53° to the horizontal. How high up the wall does the ladder reach?
Evaluate Cos 45° Cos 30° - Sin 45° Sin 30° leaving the answer in surd form
√2 - 1/2
√3 - √2/4
√6 - √2/2
√6 - √2/4
The bearing of P from Q is x, where 270° < x < 360°. Find the bearing of Q from P.
(x - 90)°
(x - 270)°
(x - 135)°
(x - 180)°
Points X, Y and Z are located in the same horizontal plane such that Y is 12km north of X and Z is on a bearing of 270° from X. If |XZ| = 6km, calculate, correct to one decimal place, |YZ|.
From the diagram, find the bearing of Q from P.
The angle of depression of a point Q from a vertical tower PR, 30m high, is 40°. If the foot P of the tower is on the same horizontal level as Q, find correct to 2 decimal places, |PQ|.
The bearing S40°E is the same as
Three obersevation posts P, Q and R are such that Q is due east of P and R is due north of Q. If /PQ/ = 5km and /PR/ = 10km, find /QR/
Express 25° 45I in decimal (Hint 1° = 60I)
In the diagram AB is a vertical pole and BC is horizontal. If /AC/ = 10m and /BC/ = 5m. Calculate the angle of depression of C from A
Which of the following bearings is equivalent to S50°W?
How far is Kofi from the building?
Find the bearing of Kofi from the building?
If tan x = 1/√3 find cos x - sin x such that 0°≤x≤90°,
2/√3 + 1
2/√3 - 1
From the top a cliff 20m high, a boat can be sighted at sea 75m from the foot of the cliff. Calculate the angle of depression of the boat from the top of the cliff.
The diagram shows the position of three ships A, B and C at sea. B is due north of C such that /AB/ = /BC/ and the bearing of B from A = 040°. What is the bearing of A from C?
A pole of lenght L leans aganist a vertical wall so that it makes an angle of 60° with the horizontal ground. If the top of the pole is 8m above the ground, calculate L
If sin (x+30)° = cos 40°, find X
Find the value of x if Cos x = 5/8 for 0° ≤ x ≤ 180°
A aldder 5m long against a wall such that its foot makes an angle of 30° with the horizontal. How far is foot of the ladder from the wall?
Two points P and Q are on longitude 67°W. Their latitude differ by 90°. Calculate their distance apart in terms of π. (Take radius of the earth = 6400km)
The angle of elevation of a point T on a tower from a point U on the horizantal ground is 30°. If TU = 54cm, how high is T above the horizonal ground?
Express the true bearing of 250° as a compass bearing
If sinθ = -1/2 , find all th evalues of θ between 0° and 360°
Cos 65° has the same value as
Two towns X and Y both on latitude 60°S have longitude 27°E and 33°W respectively. Find the nearest kilometre, the distance between X and Y measured along the parallel of latitude. [Take 2πR = 4 x 104km, where R is the radius of the earth]
If sin θ = cos θ, for 0° ≤ 0 ≤ 360°, find the value of θ
If tan x = 22/5, find the value of sin x; 0 ≤ x ≤ 90°
A town P is 150km from a town Q in the direction 050°. What is the bearing of Q from P?
The angle of elevation of the top X of a vertical pole from a point P on a level ground is 60°. The distance from a point P to the foot of the pole is 55cm. Without using tables, find the height of the pole.
The position of two countries: P and Q are (15oN, 12oE) and (65oN,12oE) respectively. What is the difference in latitude?
Without using tables, find the value of (sin 20°/ cos 70°) + ( cos 25° / sin 65°)
The bearing of two points Q and R from a point P are 030° and 120° respectively. If /PQ? = 12m and /PR/ = 5m, find the distance QR.
If sin θ = k, find tan θ, 0° ≤ θ ≤ 90°
A ladder 6m long leans against a vertical wall so that it makes an angle of 60° with the wall. Calculate the diatance of the foot of the ladder from the wall.
The bearing of Q from P is 122°, what is the bearing of P from Q?
Cos 57° has the same value as
A plane flies 90km on a bearing 030° and then flies 150km due east. How far east of the starting point is the plane?
If sin x = cos 50°, then x equals