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Maths M.C.Q (1 Marks)

Some Applications of Trigonometry · Gujarat Board (GSEB) STD 10 (GSEB - English Medium). 11 questions.

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M.C.Q (1 Marks)

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11 questions · timed · auto-graded

MCQ 11 Mark
When the angle of elevation of the sun decreases from $60^{\circ}$ to $30^{\circ}$ the length of the shadow of the tower standing on the ground_____
  • ✓
    increases
  • B
    decreases
  • C
    can not change
  • D
    can not say any thing
Answer
Correct option: A.
increases
increases
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MCQ 21 Mark
In the given figure $P$ and $Q$ represent
Image
  • A
    Angle of elevation, line of vision
  • B
    Angle of depression, horizontal line
  • ✓
    Line of vision, Angle of elevation
  • D
    Horizontal line, Angle of depression
Answer
Correct option: C.
Line of vision, Angle of elevation
Line of vision, Angle of elevation
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MCQ 31 Mark
In the given figure $\tan \theta=$
Image
  • ✓
    $\frac{12}{5}$
  • B
    $\frac{5}{13}$
  • C
    $\frac{12}{3}$
  • D
    $\frac{5}{12}$
Answer
Correct option: A.
$\frac{12}{5}$
$\frac{12}{5}$
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MCQ 41 Mark
A ladder is placed along a wall such that its upper end is touching the wall at 4m high. The length of the ladder is $5m$. Then the foot of the ladder is .......... m away from the ground.>
Image
  • ✓
    $3$
  • B
    $4$
  • C
    $5$
  • D
    $6$
Answer
Correct option: A.
$3$
$3$
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MCQ 51 Mark
There is a house, with height $x$ opposite to the hill. The height of the hill is $h$. The angle of elevation of the top of the hill from the bottom of the house is $\alpha$ and the angle of elevation of the top of the house from the bottom of the hill is $\beta$ then the value of $\frac{h}{x}$ is
  • A
    $1$
  • ✓
    more than $1$
  • C
    less than $1$
  • D
    None of these
Answer
Correct option: B.
more than $1$
more than $1$
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MCQ 61 Mark
The angle of elevation of the sun at $9$ o'clock is $x$ and at $11$ o'clock is $y$. Then ______
  • ✓
    $x$
  • B
    $x>y$
  • C
    $x \geq y$
  • D
    $x=y$
Answer
Correct option: A.
$x$
$x$
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MCQ 71 Mark
The decimal value of $\sqrt{3}$ is _______
  • A
    $0.73$
  • B
    $2.73$
  • ✓
    $1.73$
  • D
    $17.3$
Answer
Correct option: C.
$1.73$
$1.73$
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MCQ 81 Mark
As observed from the top of a lighthouse from the sealevel the angle of depression of two ships $P$ and $Q$ are $35^{\circ}$ and $50^{\circ}$ respectively. From the lighthouse,
  • A
    $P$ and $Q$ are at equal distances.
  • B
    The distance of Q is more than that of $P$.
  • ✓
    The distance of $P$ is more than that of $Q$.
  • D
    None of these.
Answer
Correct option: C.
The distance of $P$ is more than that of $Q$.
The distance of $P$ is more than that of $Q$.
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MCQ 91 Mark
From the bottom of the house $A$, the angle of elevation of the top of the house $B$ is $45^{\circ}$ and from the bottom of the house $B$, the angle of elevation of the top of the house $A$ is $65^{\circ}$. Then
  • A
    The height of $B$ is more than the height of $A$.
  • B
    The heights of $A$ and $B$ are equal.
  • ✓
    The height of $A$ is more than the height of $B$.
  • D
    None of these.
Answer
Correct option: C.
The height of $A$ is more than the height of $B$.
The height of $A$ is more than the height of $B$.
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MCQ 101 Mark
As observed from the top of a lighthouse from the sealevel, the angle of depression of two ships $A$ and $B$ are $25^{\circ}$ and $40^{\circ}$ respectively. From the lighthouse
  • A
    $A$ and $B$ are at equal distance.
  • B
    the distance of $B$ is more than the distance of $A$.
  • ✓
    The distance of $A$ is more than the distance of $B$.
  • D
    None of these.
Answer
Correct option: C.
The distance of $A$ is more than the distance of $B$.
The distance of $A$ is more than the distance of $B$.
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MCQ 111 Mark
The height of the tower is $50 m$ and the height of the house is $30 m$. From a point middle of the line segment joining them, the angle of elevation of the tower is $\alpha$ and the angle of elevation of the house is $\beta$ then.
  • A
    $\alpha=\beta$
  • ✓
    $\alpha>\beta$
  • C
    $\alpha \leq \beta$
  • D
    $\alpha<\beta$
Answer
Correct option: B.
$\alpha>\beta$
$\alpha>\beta$
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M.C.Q (1 Marks) - Maths STD 10 Questions - Vidyadip