WorksheetsMastering Sines and Cosines: Triangles in Action
Total questions: 10
Worksheet time: 5mins
A triangle has two sides measuring 8 cm and 10 cm, with an included angle of 45 degrees. What is the length of the third side?
c = 15 cm
c = √(164 - 80√2) cm
c = 6 cm
c = 12 cm
In triangle ABC, angle A measures 30 degrees, side a is 12 cm, and side b is 15 cm. Calculate the measure of angle B using the law of sines.
25 degrees
38.68 degrees
60 degrees
45 degrees
A ship sails from point A to point B, which is 50 km away. It then sails to point C, which is at an angle of 60 degrees from point B. If the distance from B to C is 40 km, how far is point A from point C?
45.83 km
60 km
30 km
70 km
In triangle XYZ, angle X is 40 degrees, angle Y is 70 degrees, and side x is 15 m. Find the length of side y using the law of sines.
22.1 m
18.5 m
20.0 m
25.3 m
A ladder leans against a wall, forming a 75-degree angle with the ground. If the foot of the ladder is 4 m from the wall, how long is the ladder?
15.5 m
12 m
18 m
10 m
A triangle has sides of lengths 7 m and 9 m, with an angle of 50 degrees between them. Use the law of cosines to find the length of the third side.
8.3 m
9.5 m
7.1 m
6.5 m
In a triangle, angle A is 50 degrees, side a is 10 m, and side b is 15 m. Find angle B using the law of sines.
40 degrees
30 degrees
60 degrees
20 degrees
A surveyor measures a triangular plot of land. One side is 100 m, and the angles opposite to this side are 30 degrees and 60 degrees. Calculate the length of the other two sides.
b = 150 m, c = 180 m
b = 120 m, c = 160 m
b = 173.21 m, c = 200 m
b = 200 m, c = 250 m
A kite is flying at an angle of elevation of 30 degrees from a point on the ground. If the string of the kite is 50 m long, how high is the kite above the ground?
40 m
35 m
15 m
25 m
In triangle DEF, angle D is 45 degrees, side d is 10 cm, and side e is 12 cm. Calculate the measure of angle E using the law of sines.
36.87 degrees
30 degrees
50 degrees
60 degrees
