Study Set Content:
A cyclic quadrilateral has the sides AB = 8, BC = 10 and CD 12 cm respectively. The fourth side DA is the diameter of the circle. Find the area of the circle.
A. 317
B. 234
C. 345
D. 435
A. 317
A road is tangent to a circular lake. Along the road and 12 miles from the point of tangency, another road opens toward the lake. From the intersection of the two roads to the periphery of the lake, the length of the new road is 11 miles. If the new road will be prolonged across the lake, find the length of the bridge to be constructed.
A. 2.09
B. 3.08
C. 4.06
D. 5.07
A. 2.09
The corresponding sides of the two similar triangles are in the ratio 3:2. What is the ratio of their areas?
A. 9:4
B. 3:4
C. 4:6
D. 9:5
A. 9:4
Which of the following is the value of 1 radian in degrees?
A. 89.55
B. 60.3
C. 57.3
D. 45.58
C. 57.3
How many degrees is 4800 mils?
A. 270 deg
B. 90 deg
C. 180 deg
D. 215 deg
A. 270 deg
If sin Ø = 12/13, then the value of tan Ø is equal to
A. 12/5
C. ±12/5
D. ±5/12
B. 5/12
C. ±12/5
What is the value of x if cos h x + sin h x = 7.3897
A. 2
B. 1
C. e
D. 3.1416
A. 2
In an isosceles right triangle, the hypotenuse is times as long as each of the legs.
A √2
B √3
C. 2
D. 3
A. √2
Which of the following is not a secondary part of a triangle?
A. Altitudes
B. Medians
C. Exterior angles
D. Sides
D. Sides
Which of the following is not a property of a triangle?
A. The sum of the three angles is always equal to two right angles
B. The sum of two sides is less than the third side.
C. If the two sides are equal, the angles opposite are unequal.
the height of
D. The altitudes of the triangle meet in a point
B. The sum of two sides is less than the third side.
It refers to a single line which forms a tangent to two or more separate curves.
A. common secant
B. common tangent
D. axis
C. chord
B. common tangent
Determine the sum of the angles of the vertices of a regular 5-pointed star inscribed in a circle.
A. 150 deg
C. 180 deg
B. 160 deg
D. 120 deg
C. 180 deg
A transit set up 40 m from the base of a vertical chimney reads 32°30' with the cross hairs set on the top of the chimney. With the telescope level the vertical rod at the base of the chimney is 2.1 m respectively. Approximately, how tall is the chimney?
A. 15m
B. 28 m
C. 26m
D. 38 m
B. 28 m
Any lines segment joining a vertex of a triangle to a point on the opposites side
A. median
C. cevian
B. secant line
D. euclidian line
C. cevian
If cos^4 Ø - sin^4 Ø is equal to
A. 2sin^2 ∅-1
C. 2tan^2 ∅-1
D. 2sec^2 ∅-1
B. 2cos^2 ∅-1
B. 2cos^2 ∅-1
Given a triangle with an angle C = 28.7°, side a = 132 units and side b = 224 units. Solve for the side c.
A. 95 units
B. 125.4 units
C. 110 units
D. 90 units
B. 125.4 units
Simplify {cos A/ [sinA+1]}+tan A
A. sec A
C. sin A
B. csc A
D. cos A
A. sec A
Points A and B are 100 m apart and are of the same elevation as the foot of the tower. The angles of elevation of the top of the tower from the points A and B are 21 degrees and 32 degrees respectively.How far is A from the tower in meters?
A. 259.28
B. 265.42
C. 271.62
D. 277.92
A. 259.28
A man finds the angle of elevation of the top of a tower to be 30 degrees. He walks 85 m nearer the tower and finds its angle of elevation to be 60 degrees. What is the height of the tower?
A. 76.31 m
C. 73.16 m
B. 73.31 m
D. 73.61 m
D. 73.61 m
A and B are summits of two mountains rise from a horizontal plain. B being 1200m above the pain. Find the height of A, it being given that its angle of elevation as seen from a point C in the plain (in the same vertical plane with A and B) is 50 deg, while the angle of depression of C viewed from B is 28°58' and the angle subtended at B by AC is 50 deg.
A. 2847.64 m
C. 2989.42 m
B. 3200.20 m
D. 3002.33 m
D. 3002.33 m
