Choose the one alternative that best completes the statement

Choose the one alternative that best completes the statement or answers the question. Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction in angle in [0,360 degree]. One rope pulls a barge directly east with a force of 60 newtons, and another rope pulls the barge directly north with a force of 73 newtons. Find the magnitude of the resultant force acting on the barge. Find the area of a triangular-shaped field with sides of 194.1 m and 162.9 m. and the included angle between them measuring 61.19degree. Round to the nearest square meter. A projectile is fired with an initial velocity of 550 feet per second at an angle of 70degree with the horizontal. In how many seconds will the projectile reach its maximum altitude? (Round your answer to the nearest tenth of a second.) A force of 570 lb is required to pull a boat up a ramp inclined at 16 degree with the horizontal. How much does the boat weigh? Find the component form of the indicated vector. Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

Solution

1)(8,8)

magnitude =[8² +8²]=82

direction =tan^-1(8/8)

=tan^-11

=/4

2)magnitude =[60² +73²]

magnitude =8929

magnitude=94 newtons

3) area of triangular region =(1/2)*(194.1)(162.9)sin61.19^o

area of triangular region =13853m²