|
|
1.
|
Use the law of Cosines to solve the given triangle.
Round your answer to two decimal places.
|
|
2.
|
Use the law of Cosines to solve the given triangle.
Round your answer to two decimal places.
|
|
3.
|
Determine whether the Law of Sines or the Law of
Cosines is needed to solve the triangle. Then solve the triangle. Round your answer to two decimal
places.
a. | Law of Sines; | b. | Law of Cosines; No solution | c. | Law of Cosines; No solution | d. | Law of Cosines; | e. | Law of Sines; |
|
|
4.
|
Use the Heron’s formula to find the area of
the triangle. Round your answer upto two decimal places.
,
|
|
5.
|
To determine the distance between two aircraft, a
tracking station continuously determines the distance to each aircraft and the angle between them
(see figure). Determine the distance a between the planes when miles, miles and miles.
a. | mi | b. |
mi | c. | mi | d. | mi | e. | mi |
|
|
6.
|
Given , ,
and , use the Law of Cosines to solve the triangle
for the value of B. Round answer to two decimal places.
|
|
7.
|
Given , ,
and , use the Law of Cosines to solve the triangle
for the value of A. Round answer to two decimal places.
|
|
8.
|
Given , ,
and , use the Law of Cosines to solve the triangle
for the value of B. Round answer to two decimal places.
|
|
9.
|
Given , ,
and , use the Law of Cosines to solve the triangle
for the value of A. Round answer to two decimal places.
|
|
10.
|
In the figure below, , , and . Use this information to solve the
parallelogram for b. The diagonals of the parallelogram are represented by c and
d. Round answer to two decimal places.
a. | 8.91 | b. | 3.61 | c. | 7.14 | d. | 7.58 | e. | 10.68 |
|