FE Mechanical Practice
Problems Exam Study Guide –
Practice Questions with
Answers. GRADED A+. Latest
2026/2027 Update.
To find the width of a river, a surveyor sets up a transit at point C on one river
bank and sights directly across to point B on the other bank. The surveyor then
walks along the bank for a distance of 275 m to point A. The CAB angle is 57
degrees 28'.
(SEE 1-1 PP FOR IMAGE)
What is the approximate width of the river?
(A) 150 m
(B) 230 m
(C) 330 m
(D) 430 m - Ans✔✔-D
,In the following illustration, angles 2 and 5 are 90 degrees, AD = 15, DC = 20,
and AC = 25.
(SEE 1-1 PP FOR IMAGE)
What are the lengths BC and BD, respectively?
(A) 12 and 16
(B) 13 and 17
(C) 16 and 12
(D) 18 and 13 - Ans✔✔-C
What is the length of the line segment with slope 4/3 that extends from the
point (6, 4) to the y-axis?
(A) 10
(B) 25
(C) 50
(D) 75
1-1 PP - Ans✔✔-A
Which of the following expressions is equivalent to sin (2 theta)?
(A) 2sin(theta)cos(theta)
, (B) (cos(theta))^2 - (sin(theta))^2
(C) sin(theta)cos(theta)
(D) (1-cos(2 theta))/2
1-1 PP - Ans✔✔-A
Which of the following equations describes a circle with center at (2, 3) and
passing through the point (-3, -4)?
(A) (x + 3)^2 + (y+4)^2 = 85
(B) (x + 3)^2 + (y+2)^2 = sqrt(74)
(C) (x - 3)^2 + (y-2)^2 = 74
(D) (x-2)^2 + (y-3)^2 = 74
1-1 PP - Ans✔✔-D
The equation for a circle is x^2 + 4x + y^2 + 8y = 0. What are the coordinates of
the circle's center?
(A) (-4,-8)
(B) (-4, -2)
(C) (-2, -4)
(D) (2, -4)
1-1 PP - Ans✔✔-C
Problems Exam Study Guide –
Practice Questions with
Answers. GRADED A+. Latest
2026/2027 Update.
To find the width of a river, a surveyor sets up a transit at point C on one river
bank and sights directly across to point B on the other bank. The surveyor then
walks along the bank for a distance of 275 m to point A. The CAB angle is 57
degrees 28'.
(SEE 1-1 PP FOR IMAGE)
What is the approximate width of the river?
(A) 150 m
(B) 230 m
(C) 330 m
(D) 430 m - Ans✔✔-D
,In the following illustration, angles 2 and 5 are 90 degrees, AD = 15, DC = 20,
and AC = 25.
(SEE 1-1 PP FOR IMAGE)
What are the lengths BC and BD, respectively?
(A) 12 and 16
(B) 13 and 17
(C) 16 and 12
(D) 18 and 13 - Ans✔✔-C
What is the length of the line segment with slope 4/3 that extends from the
point (6, 4) to the y-axis?
(A) 10
(B) 25
(C) 50
(D) 75
1-1 PP - Ans✔✔-A
Which of the following expressions is equivalent to sin (2 theta)?
(A) 2sin(theta)cos(theta)
, (B) (cos(theta))^2 - (sin(theta))^2
(C) sin(theta)cos(theta)
(D) (1-cos(2 theta))/2
1-1 PP - Ans✔✔-A
Which of the following equations describes a circle with center at (2, 3) and
passing through the point (-3, -4)?
(A) (x + 3)^2 + (y+4)^2 = 85
(B) (x + 3)^2 + (y+2)^2 = sqrt(74)
(C) (x - 3)^2 + (y-2)^2 = 74
(D) (x-2)^2 + (y-3)^2 = 74
1-1 PP - Ans✔✔-D
The equation for a circle is x^2 + 4x + y^2 + 8y = 0. What are the coordinates of
the circle's center?
(A) (-4,-8)
(B) (-4, -2)
(C) (-2, -4)
(D) (2, -4)
1-1 PP - Ans✔✔-C
