review exercise 40 (subjective)

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  • 8/18/2019 Review Exercise 40 (Subjective)

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    Review Exercise 40

    Subjective Questions

    1. State tan θ in each of the following diagrams.

    (a) (b)

    (c) (d)

    2. In the following diagrams, find the value of tan θ.

    (a) (b)

    (c) (d)

    3. Calculate the value of θ in the following diagrams.

    (a) tan θ = 0.9 (b) tan θ =!

    (c) tan θ ="

    (d) tan θ = #.$

    © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1

  • 8/18/2019 Review Exercise 40 (Subjective)

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    Review Exercise 40

    4. Calculate the value of sin θ correct to four decimal %laces.(a) (b)

    (c) (d)

    5. In the following diagrams, determine the length of y.

    (a) sin θ =!

    &(b) sin θ =

    $

    (c) sin θ = 0.' (d) sin θ =9

    6. ind the value of cos θ correct to four decimal %laces.(a) (b)

    © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR2

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    Review Exercise 40

    (c) (d)

    7. Calculate the length of z in the following diagrams.

    (a) cos θ =$

    #(b) cos θ =

    &

    $

    (c) cos θ = 0." (d) cos θ = 0.9

    8. Co% and com%lete the table below.

    tan θ sin θ cos θ

    !

    &

    #&

    #'

    #

    9.

    In the diagram, sin x* =$

    $!. ind the length of HK .

    © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR3

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    Review Exercise 40

    10.

    In the diagram, find the value of tan x*.

    11.

    In the diagram, cos x* =#'

    #. ind the value of tan x*.

    12. ind the value of each of the following.(a) tan $&* (b) sin "+*(c) cos #."* (d) tan '9.$*

    13. ind the angle x, in degree, such that 0* x 90*.(a) tan x = #.$9!(b) sin x = 0."'!&(c) cos x = 0.9!""(d) sin x = 0.''!9

    14. Calculate the value of x in the following. -ive the answer in degree and minute.

    (a) tan x = $!

    #(b) sin x =

    &

    (c) cos x =#0

    9(d) cos x =

    #+

    '

    15. Calculate the values of x and y. -ive the answers correct to two decimal %laces.

    (a) (b)

    (c) (d)

    © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR4

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    Review Exercise 40

    16. In the following diagrams, calculate the values of x and θ.(a) (b)

    (c) (d)

    17.

    In the diagram, P , Q and R are %oints on the ban s of a river. If QR = ! m and theangle ∠ PRQ = 0*, calculate the width of the river. -ive the answer correct totwo decimal %laces.

    18.

    © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR5

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    Review Exercise 40

    In the diagram, OP is a cable used to su%%ort a tele%hone %ole. If PQ = ' m,calculate the length of the cable. -ive the answer correct to two decimal %laces.

    19.

    /he diagram shows a light house of height # m that is built on a cliff of height! m from the sea level. Calculate the angle θ, in degree and minute.

    20.

    /he diagram shows a ladder that is leaning against a wall. Calculate the angle made

    b the ladder with the floor. -ive the answer correct to the nearest degree.

    © Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR6