SSC MATHEMATICS TRIGONOMETRY MEASUREMENT OF ANGLE QUIZ QUIZ 8

Question 1:

If the angular diameter of the moon be $30^{\prime}$, how far from the eye a coin of diameter $2.2$ $\mathrm{cm}$ be kept to hide the moon.

$250 \mathrm{~cm} $

$252 \mathrm{~cm} $

$263 \mathrm{~cm} $

$257 \mathrm{~cm} $

Question 2:

The moon distance from the earth is 360000 $\mathrm{km}$ and its diameter subtends an angle of $31^{\prime}$ at eye of the observer, find the diameter of moon.

$324.762 \mathrm{~km} $

$314.263 \mathrm{~km} $

$293.74 \mathrm{~km} $

$364.732 \mathrm{~km} $

Question 3:

Find the length which at a distance of 5250 $\mathrm{m}$ will subtend an angle of 1 minute at the eye.

$1.5365 \mathrm{~m}$

$1.67825 \mathrm{~m} $

$2.365 \mathrm{~m} $

$3.4625 \mathrm{~m} $

Question 4:

A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by $25^{\circ}$ a distance of 40 meters.

$91.64 \mathrm{~m} $

$93.65 \mathrm{~m} $

$98.67 \mathrm{~m} $

$\mathrm{} 89.67 \mathrm{~m} $

Question 5:

Find the radius of the circle in which a central angle of $60^{\circ}$ intercepts an arc of length
$37.4 \mathrm{~cm} .\left(\right.$ use $\left.\pi=\frac{22}{7}\right)$

$36.7 \mathrm{~cm} $

$35.7 \mathrm{~cm}$

$39.6 \mathrm{~cm} $

$45.7 \mathrm{~cm} $

Question 6:

Find the length of an arc of a circle of radius $5 \mathrm{~cm}$ subtending a central angle measuring $15^{\circ} .$

$180.57 \mathrm{~cm} $

$188.57 \mathrm{~cm} $

$167.34 \mathrm{~cm} $

$156.57 \mathrm{~cm} $

Question 7:

Direction: Convert each radian measure to degree measure.
$\frac{5 \pi}{36}$

$25^{\circ}$

$36^{\circ}$

$27^{\circ}$

$48^{\circ}$

Question 8:

Direction: Convert each of the following degree measure to radian measure.
$-303^{\circ}$

$101 \pi / 60$

$-101 \pi / 60$

$-103 \pi / 65$

$-108 \pi / 63$

Question 9:

Direction: Convert the decimal degrees to dgree, minutes and seconds.
$80.26^{\circ}$

$80^{\circ} 15^{\prime} 15^{\prime \prime}$

$80^{\circ} 15^{\prime} 36^{\prime \prime}$

$85^{\circ} 16^{\prime} 32^{\prime \prime}$

$88^{\circ} 15^{\prime} 36^{\prime \prime}$

Question 10:

Direction: Convert each degrees, minutes to decimal degrees.

$128^{\circ} 46^{\prime}$

$126.77^{\circ}$

$128.77^{\circ}$

$124.35^{\circ}$

$123.36^{\circ}$