## SS2: MATHEMATICS – 1ST TERM

- Trigonometry III | Week 11Topic|1 Quiz
- Mensuration II | Plane Shapes | Week 32Topics|1 Quiz
- Mensuration III | Solid Shapes | Week 4, 5, 64Topics|1 Quiz
- Logarithms of Numbers Less Than One | Week 71Topic
- Theory of Logarithms | Week 86Topics
- Approximation & Accuracy | Week 95Topics|1 Quiz

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- Question 1 of 21
##### 1. Question

If tanx = \( \frac{1}{\sqrt{3}} \)

Find cosx – sinx such that 0Â°â‰¤xâ‰¤90Â°.

CorrectIncorrect - Question 2 of 21
##### 2. Question

In the diagram, PR is the perpendicular from P to QS, PQ = 2cm, QR = 1cm, and PR = PS. What is the size of the angle QPS?

CorrectIncorrect - Question 3 of 21
##### 3. Question

Given that cos 30Â°= sin60Â°= \( \frac{\sqrt{3}}{2} \)

and sin 30Â° = cos60Â° = \( \frac{1}{2} \)

Evaluate \( \frac{tan60^o \: – \: 1}{1 \: -\: tan 30^0} \)

CorrectIncorrect - Question 4 of 21
##### 4. Question

Evaluate \( \scriptsize cos45^o cos30^0 \: – \: sin45^0 sin30^0 \)

leaving the answer in surd form. Â

CorrectIncorrect - Question 5 of 21
##### 5. Question

In the diagram below, XYZ is an equilateral triangle of side 6cm and T is the midpoint of XY. Find tan (<XZT).

CorrectIncorrect - Question 6 of 21
##### 6. Question

In the diagram, |QR|= 5cm, PQR = 60Â° and <PSR = 45Â°. Find |PS|, leaving your answer in surd form.

CorrectIncorrect - Question 7 of 21
##### 7. Question

A manâ€™s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high. Calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.

CorrectIncorrect - Question 8 of 21
##### 8. Question

The angle of elevation of an aircraft from a point k on the horizontal ground is 30Â°. If the aircraft is 800m above the ground, how far is it from k?

CorrectIncorrect - Question 9 of 21
##### 9. Question

Kweku walked 8m up a slope and was 3m above the ground. If he walks 12m further up the slope, How far above the ground will he be?

CorrectIncorrect - Question 10 of 21
##### 10. Question

An object is 6m away from the base of a mast. If the angle of depression of the object from the top of the mast is 50Â°. Find correct to 2 decimal places, the height of the mast.

CorrectIncorrect - Question 11 of 21
##### 11. Question

A boy looks through a window of a building and sees a mango fruit on the ground 50m away from the foot of the building. If the window is 9m from the ground, Calculate, correct to the nearest degree, the angle of depression of the mango from the window.

CorrectIncorrect - Question 12 of 21
##### 12. Question

A kite flies on a taut string of length 50m inclined at an angle of 54Â° to the horizontal ground. The height of the kite above the ground is

CorrectIncorrect - Question 13 of 21
##### 13. Question

A stationary boat is observed from a height of 100m. If the horizontal distance between the observer and the boat is 80m, Calculate, correct to two decimal places, the angle of depression of the boat from the point

CorrectIncorrect - Question 14 of 21
##### 14. Question

The shadow of a pole 53m high is 5cm. Find the angle of elevation of the sun.Â

CorrectIncorrect - Question 15 of 21
##### 15. Question

The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30Â°. Find the height of the tree.

CorrectIncorrect - Question 16 of 21
##### 16. Question

A ladder 9m long rests against a vertical wall, making an angle of 64Â° with the horizontal ground. Calculate, correct to one decimal place, how far the foot of the ladder is from the wall.

CorrectIncorrect - Question 17 of 21
##### 17. Question

From the top of 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.Â

CorrectIncorrect - Question 18 of 21
##### 18. Question

The angle of elevation of X and Y is 30Â°. If XY = 40m, How high is X above the level of Y?

CorrectIncorrect - Question 19 of 21
##### 19. Question

If the shadow of a pole 7m high is Â½ its length, what is the angle of elevation of the sun, correct to the nearest degree?

CorrectIncorrect - Question 20 of 21
##### 20. Question

The angle of elevation of the top of a tree 39m away from a point on the ground is 30Â°. Find the height of the tree.

CorrectIncorrect - Question 21 of 21
##### 21. Question

A point on the ground is 5m away from the foot of the vertical wall 7m high, Calculate, correct to the nearest degree, angle of depression of the point from the top of the wall.

CorrectIncorrect

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