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Grade 10 Pretest Q4

Quiz by Richard Mamis

Grade 9
Mathematics
Philippines Curriculum: Grades K-10 (MELC)

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20 questions
Show answers
  • Q1

    1.    What is the opposite side of B?

    Question Image

    b

    a

    A

    c

    30s
    M9GE-IVa-1
  • Q2

    What is the side adjacent to B?

    b

    c

    A

    a

    30s
    M9GE-IVa-1
  • Q3
    30s
    M9GE -IVb-c-1
  • Q4

    What is the length of c?

    Question Image

    5

    4

    4.5

    3

    30s
    M9GE -IVb-c-1
  • Q5

    What is the exact value of csc 30°?

    2

    2\sqrt{2}

    \sqrt{2}

    30

    30s
    M9GE -IVb-c-1
  • Q6

    If the hypotenuse of a 30° − 60° − 90° triangle is 16 units, how long is the leg opposite to 30°?

    8

    10

    12

    32

    30s
    M9GE -IVb-c-1
  • Q7

    Richard flew a kite which has a string of 160 meters long and it makes an angle of 60° with the horizontal. What is the height of the kite? (assuming that there is no slack in the string)

    40\sqrt{3} m

    30\sqrt{3} m

    80\sqrt{3} m

    80 m

    30s
    M9GE-IVe-1
  • Q8

    An11-meter ladder that leans against a classroom wall forms an angle of 30° with the wall. Exactly how far is the top of the ladder from the floor?

    4.5 m

    6.5 m

    3.5 m

    5.5 m

    30s
    M9GE-IVe-1
  • Q9

    A 15-foot ladder leans against a wall so that the base of the ladder is 12 meters from the base of the building. What is the ladder’s angle of elevation?

    34o

    35o

    37o

    36o

    30s
    M9GE-IVd-1
  • Q10

    A 6 ft tall man casts a shadow of 11 ft. on the ground. What is the angle of elevation from the tip of the shadow to the sun?

    32o

    30o

    31o

    29o

    30s
    M9GE-IVd-1
  • Q11

    From the top of a vertical cliff 45 m high, the angle of depression of an object that is level with the base of the cliff is 56º, how far is the object from the base of the cliff?

    72.66m

    64.27m

    66.72m

    67.62m

    30s
    M9GE-IVd-1
  • Q12

    Which of the following is the correct equation to solve for the length of the ladder from the problem below? 

    A ladder is placed against a wall such that it reaches the top of the wall. The foot of the ladder is 3 meters away from the wall and the ladder is inclined at angle of 45o. How long is the ladder?

    \tan45^o=\frac{3m}{x}

    \cos45^o=\frac{3m}{x}

    \sin45^o=\frac{3m}{x}

    \sin45^o=\frac{x}{3m}

    30s
    M9GE-IVe-1
  • Q13

    A ladder is placed against a wall such that it reaches the top of the wall. The foot of the ladder is 3 meters away from the wall and the ladder is inclined at angle of 45o. How long is the ladder?

    4.24m

    2.12m

    6.36m

    8.48m

    30s
    M9GE-IVe-1
  • Q14

    What is the appropriate trigonometric ratio to be used to solve the problem below?

    Marikit-na is a female statue in Marikina River Park with a height of 40ft. If the shadow of the statue on the ground formed is 43 ft, what is the measure of the angle formed from the top of the statue to the tip of the shadow?

    secant

    sine

    tangent

    cosine

    30s
    M9GE-IVe-1
  • Q15

    Marikit-na is a female statue in Marikina River Park with a height of 40ft. If the shadow of the statue on the ground formed is 43 ft, what is the measure of the angle formed from the top of the statue to the tip of the shadow?

    46o

    47o

    45o

    43o

    30s
    M9GE-IVe-1

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