Aballoon rises vertically at the rate of 10 feet per second. it encounters a wind that gives a horizontal displacement of 5 feet per second. find the angle its path makes with the horizontal.

63.44°

Step-by-step explanation:

We are given from the figure,

Vertical distance = 10 feet

Horizontal distance = 5 feet.

Trigonometric rule for the right triangles gives us,

i.e.

i.e.

i.e.

i.e. x= 63.44°

Hence, the angle made by the path with the horizontal is 63.44°

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2