Question

In the figure below, find each of the following.A diagram of a right triangle with a hypotenuse labeled 5.00, a vertical leg labeled 3.00 and a horizontal leg labeled 4.00. The angle between the horizontal leg and the hypotenuse is labeled and the angle between the vertical leg and the hypotenuse is labeled .(a) the side opposite (b) the side adjacent to (c) cos (d) sin (e) tan

Answer 1

a) the side opposite = 3

b) the side adjacent to = 3

c) cos = 4/5

d

Step-by-step explanation:

Given:

hypotenuse = 5, opposite (vertical) = 3, adjacent (horizontal) = 4

To find:

a) the side opposite b) the side adjacent to

c) cos d) sin e)tan

To determine the answer to the questions, we will make a diagram of the given information:

a) the side opposite is vertical leg 3

b) the side adjacent to is vertical leg 3

c) cos = adj/hyp

opp = 3, adj = 4 hyp = 5

`cos\text{ = }(4)/(5)`

d) sin = opp/hyp

opposite = 4, adjacent = 3, hyp = 5

`sin\text{ }\text{ = }(4)/(5)`

e) tan = opp/adj

`tan\text{ }\text{ = }(4)/(3)`