Find the angle in mils subtended by a line \(10\) yards long at a distance of \(5000\) yards.
A1
B2
C2.5
D4
Mathematics · Question Bank
Analytic Geometry
178 questions · page 1 of 9. Answer in your head first, then check the solution.
Assuming that the earth is a sphere whose radius is \(6400\) km. Find the distance along a \(3\) degree arc at the equator of the earth's surface.
A335.10 km
B533.10 km
C353.10 km
D353.01 km
The angle subtended by an arc is \(24^\circ\). If the radius of the circle is \(45\) cm, find the length of arc.
A16.85 cm
B17.85 cm
C18.85 cm
D19.85 cm
A rat fell on a bucket of a water wheel with diameter of \(600\) cm which traveled an angle of \(190^\circ\) before it dropped from the bucket. Calculate for the linear cm that the rat was carried by the bucket before it fell.
A950
B965
C985
D995
Given a circle whose diameter AB equals \(2\) m. If two points C and D lie on the circle and angles ABC and BAD are \(18^\circ\) and \(36^\circ\), respectively, find the length of the major arc CD.
A1.26 m
B1.36 m
C1.63 m
D1.45 m
A certain angle has a supplement \(5\) times its complement. What is the angle?
A\(67.5^\circ\)
B\(58.5^\circ\)
C\(30^\circ\)
D\(27^\circ\)
Each angle of a regular dodecagon is equal to
A\(135^\circ\)
B\(150^\circ\)
C\(125^\circ\)
D\(105^\circ\)
How many sides has a polygon if the sum of the interior angles is \(1080^\circ\)?
A5
B6
C7
D8
The sum of the interior angles of a polygon is \(540^\circ\). Find the number of sides.
A3
B4
C5
D6
Find the sum of the interior angles of the vertices of a five pointed star inscribed in a circle.
A\(150^\circ\)
B\(160^\circ\)
C\(170^\circ\)
D\(180^\circ\)
How many sides are in a polygon if each interior angle is \(165\) degrees?
A12
B24
C20
D48
How many diagonals are there in a polygon of \(20\) sides?
A200
B170
C100
D158
Find each interior angle of a hexagon.
A\(90^\circ\)
B\(120^\circ\)
C\(150^\circ\)
D\(180^\circ\)
Given a triangle, \(C = 100^\circ\), \(a = 15\) m, \(b = 20\) m. Find c.
A26 m
B27 m
C28 m
D29 m
In triangle ABC, angle \(A = 45^\circ\) and \(C = 70^\circ\). The side opposite angle C is \(40\) m long. What is the length of the side opposite angle A?
A26.1 m
B27.1 m
C29.1 m
D30.1 m
In triangle ABC, angle \(C = 70^\circ\), \(A = 45^\circ\), \(AB = 40\) m. What is the length of the median drawn from vertex A to side BC?
A36.3 m
B36.6 m
C36.9 m
D37.2 m
From a point outside of an equilateral triangle, the distances to the vertices are \(10\) m, \(18\) m and \(10\) m, respectively. What is the length of one side of a triangle?
A17.75 m
B18.50 m
C19.95 m
D20.50 m
The sides of a triangle are \(8\) cm, \(10\) cm and \(14\) cm. Determine the radius of the inscribed circle.
A2.25 cm
B2.35 cm
C2.45 cm
D2.55 cm
What is the radius of the circle circumscribing an isosceles right triangle having an area of \(162\) sq. cm.?
A12.73 m
B13.52 m
C14.18 m
D15.55 m
The sides of a triangle are \(8\) cm, \(10\) cm and \(14\) cm. Determine the radius of the circumscribing circle.
A7.14 cm
B7.34 cm
C7.54 cm
D7.74 cm