Study Set Content:
Each interior angle of an equilateral triangle is equal to
A. 30°
C. 90
B. 60
D. 45
B. 60
From a point outside of an equilateral triangle, the distances to the vertices are 10 m, 18m and 10 m respectively. What is the length of one side of a triangle?
A. 11.23 or 19.95
B. 10.94 94 18.64
C. 12.24 or 4 19.62
D. 13.25 or 19.83
A. 11.23 or 19.95
The sides of a triangle are 8 cm. 10cm. and 14 cm. Determine the radius of the inscribed and circumscribing circle.
A. 2.45, 7.14
B. 2.72, 8.21
C. 3.02, 6.82
D. 3.26, 7.82
A. 2.45, 7.14
Which is true regarding the signs of the natural functions for angles between 90° and 180°.
A. The tangent is positive
B. The cotangent is positive
C. The cosine is negative
D. The sine is negative
C. The cosine is negative
If sec 2A = 1/ sin 13A . determine the angle A in degrees
A. 5 degrees
B. 6 degrees
C. 3 degrees
D. 7 degrees
B. 6 degrees
The sides of a triangle are three consecutive natural numbers and the largest angle is twice the smaller one. The smallest side of the triangle is_
A. 4
C. 9
B. 6
D. 7
A. 4
The area of an isosceles triangle is 36 m² with the smallest angle equal to one third of the other angle. Compute the length of the shorter side.
A. 5.73
B. 7.53
C. 9.45
D. 7.25
A. 5.73
What is the sum of the squares of the sine and cosine of an angle?
A. 0
C.√3
B. 1
D. 2
B. 1
Solve for x in the equation: arctan (x + 1) + arctan ( x-1) = arctan ( 12 ).
A. 1.50
C. 1.20
B. 1.34
D. 1.25
B. 1.34
Determine the simplified form of
f(A) = cos 2 A - cos A , if f(A) = 1
sin A
A. cos 2A
B. - sin A
C. cos A
D. sin 2A
B. - sin A
The sides of a triangular garden lot is 13 ft, 18 ft and 19 ft. This lot is to be divided by a line bisecting the longest side and drawn from the opposite vertex. Find the length of the line.
A. 12.0 ft
B. 12.5 ft
C. 13.8 ft
D. 11.5 ft
B. 12.5 ft
Determine the number of triangles possible with the given parts: A = 126 degrees; a = 20; b = 25
A. 1
C. No Solution
B. 2
D. 4
C. No Solution
If tan x = ½, tan y = 1/3, What is the value of tan (x tan = 1/2 + y)?
A. 1
B. 2
C. 3
D. 4
A. 1
Two angles which have the same vertex and the sides of one are form by extending the sides one are form by extending the sides of the other.
A. Adjacent angles
C. Vertical angles
B. Horizontal angles
D. Deflection angles
C. Vertical angles
What value of F satisfy the equation
tan(8F+ 1) = cot(17) where all angles are in degrees?
A. 7
C. 8
B. 10
D. 9
D. 9
The angle or inclination of ascend of a road
having 8.25% grade is degrees?
A. 1.72
B. 4.27
C. 5.12
D. 4.72
D. 4.72
Sin A cos B-cos A sin B is equivalent to:
C. tan (A-B)
A. cos (A-B)
B. sin (A-B)
D. cos (A-B)
B. sin (A-B)
If the sides of the triangle are 2x + 3, x² + 3x + 3 and x² + 2x, find the greatest interior angle of the triangle.
A. 100°
C. 100°
B. 120°
D. 60°
B. 120°
From a point 2 cm distance from a circle, a tangent line is drawn 3 cm long. What is the radius of the circle?
A. 1.75 cm
C. 1.5 cm
D. 1.25 cm
B. 2.5 cm
D. 1.25 cm
Find the value of A between 270 deg and 360 deg if 2sin²A-sinA=1.
A. 330 deg
C. 300 deg
D. 320 deg
B. 340 deg
A. 330 deg
