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WorksheetsLaw of Sine and Law of Cosine
Total questions: 10
Worksheet time: 3hrs 30mins
Given that a=19 and c=42 in a triangle ABC , which of the following is impossible?
b=59
b=35
b=28
b=22
For triangle ABC find a if A=40°, C=72°45′, c=23.2 m
11.8 m
12.3 m
13.4 m
15.6 m
For triangle ABC find A if B=36°30′, a=42.7 ft, b=25.8 ft
8°44′
53°30′
58°32′
79°53′
Solve the triangle ABC with the given information:
a=95 ft, b=140 ft, c=205 ft
A=66°, B=84°, C=30°
A=32°, B=52°, C=96°
A=36°, B=50°, C=94°
A=24°, B=36°, C=120°
Solve the triangle ABC with the given information:
B=128°40′, a=25.3 m, c=42.3 m
b=35.3 m, A=29°21′, C=22°59′
b=33.0 m, A=36°43′, C=14°37′
b=61.4 m, A=18°47′, C=32°33′
b=42.9 m, A=12°42′, C=39°38′
A plane travels at a bearing of 62.4° from point A for 105.7 mi. The plane then travels for 93.6 miles at a bearing of 125.2°. How far is the plane from point A?
170.2 mi
178.6 mi
193.4 mi
205.8 mi
What type of triangle has the following side lengths: a = 5 km , b = 7 km, c = 11 km
Right Triangle
Acute Triagle
Obtuse Triagnle
Not Enough Information
Two airplanes leave an airport at the same time, one going N 45° W at 414 mph and the other going east at 345 mph. How far apart are the planes after 4 hours (to the nearest mile)?
DO NOT INCLUDE THE UNIT OF MEASUREMENT IN YOUR ANSWER
(a)
Points A and B are on opposite sides of a lake. Point C is 84.5 meters from A. The measure of angle BAC is 79°20’, and the measure of angle ACB is determined to be 33°10’. Find the distance between points A and B (to the nearest meter).
DO NOT INCLUDE THE UNIT OF MEASUREMENT IN YOUR ANSWER
(a)
Kayleigh looks up at a gigantic statue of the Greek God Zeus and notes that the angle of elevation from the ground to the top of the statue’s head is 17 degrees. She then walks 100 meters closer and takes another sighting. This time the angle of elevation from the ground is 22 degrees. How tall is the statue (round to the nearest meter)?
DO NOT INCLUDE THE UNIT OF MEASUREMENT IN YOUR ANSWER
(a)
