Law of Sine
Find all the missing sides and angles using law of sine.(Round to nearest 10th)
b= 3 c=6 C= 45 degrees
A: 114.3
a: 7.7
B: 20.7
Find all the missing sides and angles using law of cosine.(Round to nearest 10th)
a= 4 b= 7 c=8
A= 30 degrees
B= 61 degrees
C= 89 degrees
u= 5i + j v= 2i + 6j
Find 3u+2v
Answer: 19i + 15j
Sammy created a triangle poster that measures 13 inches on each side. He wants to know the total area of the sign. Round your area to the nearest 10th.
Area= 73.2 inches squared
Ryan walks 2.6 miles east of his starting point, then turns and walks 6.7 miles north. Where is Ryan in relation to his starting point? Distance and angle answer is needed.
7.19 miles at 68.8 degrees north of east
Find all the missing sides and angles using law of sine.(Round to nearest 10th)
A= 56 degress B= 71 degrees b= 9
a= 7.9
c= 7.6
C= 53 degrees
Find all the missing sides and angles using law of cosine.(Round to nearest 10th)
a= 12 b=4 c=14
A= 52.6
B= 15.4
C= 112
u= -4i-3j v=2i-8j
Find 3u+2j
Answer: -8i-25j
Sammy was told that his poster was too small and that it needed to be bigger. This time he made each side of the poster 28 inches. What is the total area of the poster? Round your answer to the nearest 10th.
Area = 339.5 inches squared
Luke is flying his plane west at 210m/s with a wind blowing south at 85m/s. What is Luke's resultant velocity of his plane? Speed and angle answer needed.
227 m/s at 22 degrees south of west.
Find all the missing sides and angles using law of sine.(Round to nearest 10th)
B= 35 degrees b=8 C= 98
A= 47 degrees
a= 10.2
c= 13.8
Find all the missing sides and angles using law of cosine.(Round to nearest 10th)
A= 80 b=6 c=10
a= 10.7
B= 33.4 degrees
C= 66.6 degrees
u= 5i+2j v= i-11j
Find 6u - 3j
Answer: 27i + 45j
Kobe wants to swim laps around her local pool for excersise. She only knows two out of the three sides of the pool. If side a to side b is 50 feet and side b to side c is 60 feet, and angle ABC in the pool is 55 degrees, find the length of side c to side a. Round to nearest 10th.
Side c= 51.6 feet
Brewer is driving his boat at 30mph west. If there is a wind current blowing 7mph at 30 degrees north of west, find the actual speed and direction of the boat.
Find all the missing sides and angles using law of sine.(Round to nearest 10th)
A= 25 degrees B= 68 degrees b= 13
a= 5.9
c= 14
C= 87 degrees
Find all the missing sides and angles using law of cosine.(Round to nearest 10th)
B= 75 a= 14 c= 9
A= 68.3 degrees
b= 14.6
C= 36.7 degrees
u= 2(3i-7j) v= 4(i+3j)
Find -4u-6j
Answer: -48i -16j
My hometown of Harrisburg is 25 miles from Charlotte and Charlotte is 29 miles from Concord and Concord is 33 miles from Harrisburg. Find all interior angles in this triangle of cities. Round to nearest 10th.
A= 47 degrees
B= 58.1 degrees
C= 74.9 degrees
Jacks plane is flying 580 km/h, 60 degrees north of east with no wind. A wind begins to blow at 60km/h at 45 degrees south of east. What is the speed of the plane and what direction is it bearing?
The plane is flying at a speed of 598.34 km/h and flying at an angle of 24.44 degrees.
Find all the missing sides and angles using law of sine. If there are two solutions, solve for both.(Round to nearest 10th)
b= 15 c= 10 C= 50 degrees
a= 19.6 a= 6.4
A= 101.4 degrees A= 18.6 degrees
B= 48.6 degrees B= 131.4 degrees
Find all the missing sides and angles using law of cosine.(Round to nearest 10th)
a= 13 b= 18 C= 53
A= 45.6 degrees
B= 81.4 degrees
c= 14.5
u= 3(5i-8j) v= 5(7i+4j)
Find -6i+5j
Answer: 85i+244j
Raleigh, Chapel Hill, and Durham are located in whats known as the triangle. If Raleigh is 21 miles from Chapel Hill and Chapel Hill is 37 miles from Durham and Durham is 30 miles from Raleigh, find all interior angles for the triangle. Round to nearest 10th.
A= 34.6 degrees
B= 91.3 degrees
C= 54.1 degrees
Jimmy is flying his plane 340mph at 17 degrees. A wind is blowing 70 degrees at 50mph. Find the ground speed and angle the plane is flying at.
The plane is flying 372 mph at 23 degrees.