Study Set Content:
The sides of a triangle have lengths 22.5 m, 16.2 m and 14.9 m. Determine the measure in degrees of the largest angle.
A. 96.2°
C. 87.7°
B. 92.6°
D. 104.5
B. 92.6°
Two speed boats simultaneously sailed out from port A on a 10-km radius towards port B directly opposite of port AThe first boat took the shortest route and reached the destination in 1 hour. The other boat has to pass by port C before proceeding to port B. At what speed will it run in order to arrive at B at the same time with the first boat?
A. 34.5 kph
C. 27.32 kph
B. 35.7 kph
D. 25.32 kph
C. 27.32 kph
In a triangle ABC, angle A is 60 deg and angle B is 45 deg. Compute the ratio of sides BC to AC?
A. 1.22
B. 1.56
C. 1.87
D. 1.15
A. 1.22
A lighthouse is 10 units of length northwest of a dock. A ship leaves the dock at 8:00 AM and travels west at 12 units of length per hour. At what time will the ship be 8 units of length from the lighthouse?
A. 8:17 AM
B. 8:50 AM
C. 8:45 AM
D. 8:25 AM
A. 8:17 AM
In the following illustration, angles 2 and 5.are 90°,- AD = 15, DC = 20, and AC = 25. What are the lengths BC and BD, respectively?
A. 12 and 16
B. 13 and 17
C. 16 and 12
D. 18 and 13
C. 16 and 12
The trigonometric function equal to one minus the cosine function
A. versed sine
C. arcsine
B. co-versed sine
D. arcsine
A. versed sine
A right triangle whose length of sides may be
expressed as ratio of integral units.
A. Pedal triangle
C. Scalene triangle
B. Isosceles triangle
D. Primitive triangle
D. Primitive triangle
A PLDT tower and a monument stand on a level plane. The angles of depression of the top and bottom of the monument viewed from the top of the PLDT tower are 13° and 35° respectively. The heigh of the tower is 50 m. Find the height of the monument.
A 33.51 m
C. 47.3 m
B. 7.58 m
D. 30.57 m
A 33.51 m
A triangle inscribed in a given triangle whose vertices are the feet of the three perpendiculars to the sides from same point inside, the given triangle.
A. Inscribed triangle
C. Pedal triangle
B Primitive triangle
D. Obtuse triangle
C. Pedal triangle
If twice the square of the diameter of a circle is equal to half the sum of the squares of the sides of the inscribed triangle ABC, then sin² A+ sin2 B + sin² C is equal to
A 2
B. 4
C. 6
D. 8
B. 4
At a point A south of a tower the angle of elevation of the top of the tower is 50 deg. At another point B. 200 m east of A, the angle of elevation is 22 deg. Find the height of the tower.
A. 85.9 m
B. 98.6 m
C. 85.3 m
D. 78.4 m
A. 85.9 m
Points A and B 1000 m apart are plotted on a straight highway running east and west. From A the bearing of a tower C is 32 degrees W of N and from B the bearing of C is 26 degrees N of E. Approximate the shortest distance of tower C to the highway.
A. 364 m
B. 374 m
C. 394 m
D. 384 m
B. 374 m
Given a triangle ABC, AB is 40 cm, BC is 60 cm and AC is 80 cm. Calculate how far from A will the other end of the bisector of angle B located along the line AC.
A. 40 cm
B. 32 cm
C. 45 cm
D. 30 cm
B. 32 cm
Two angles A and B who sum and difference are 90° and 30° respectively. Find the area of this triangle considering that the side opposite the smallest angle is 20 cm.
A. 385.60 sq. cm
C. 430.2 sq. cm
D. 346.4 sq. cm
B. 243.97 sq. cm
D. 346.4 sq. cm
The angle of elevation of the top of tower B from the top of the tower A is 28° and the angle of elevation of the top of tower A from the base of the tower B is 46°. The two towers lie in the same horizontal plane. If the height of the tower B is 120 m, find the height of tower A.
A. 87.2 m
B. 79.3 m
C. 90.7 m
D. 66.3 m
B. 79.3 m
Find the radius of the circumcircle of the triangle for which A= 56°, B = 24° and a = 67.
A 40.41
B. 30.45
C. 34.56
D. 43.57
A 40.41
The ratio of the angle is 3, 4, 5. Calculate the longest side if the side opposite the smallest angle is 14 cm.
A. 16.31 cm
B. 13.31 cm
C. 12.16 cm
D. 19.12 cm
D. 19.12 cm
The sides of a triangular grass plot are 20.4 m, 28.5 m and 32.6 m, respectively. A goat is tethered to a stake within the plot. Find the minimum length of the rope tied so the goat so that it can graze over the entire plot.
A. 12.54
B. 15.67
C 16.47
D. 17.27
C 16.47
The point of concurrency of the perpendicular bisector of the sides of the triangle..
A. orthocenter
B. circumcenter
C. centroid
D. incenter
B. circumcenter
From the top of PLDT Tower A, the angle of elevation of the top of the PLDT Tower B is 46° From the foot of PLDT Tower B the angle of elevation of the top of PLDT Tower A is 28°: Both towers are on a level ground. If the height of PLDT Tower B is 120 m, how high is PLDT Tower A?
A. 34.6 m
B. 44.1 m
C. 43.2 m
D. 40.7 m
D. 40.7 m
