Question

A balloon rises vertically at the rate

Answer 1

Answer:

a) 63°

b) 600ft

Step-by-step explanation:

To solve the above question, we would be using Trigonometric function

a) Find (to the nearest whole degree)

the angle with the horizontal at

which the balloon rises.

This above question a is a right angled triangle that is solved for using Trigonometric function of tan

From the question, we told that,

Vertical distance ( opposite side) = 10 feet

Horizontal distance ( adjacent side) = 5 feet.

Tan θ = opposite side/ adjacent side

Tan θ = 10/5

Tan θ = 2

θ = arc tan (2) or tan -¹(2)

θ = 63.434948823°

θ = 63°

The angle with the horizontal at

which the balloon rises to the nearest whole degree is 63°

b) find (to the nearest 10 feet) its

distance from the starting point

after one minute.​

Distance = Speed × time

Time is given in the question as 1 minute

We would convert it to seconds = 60 seconds

We are told in the question that the balloon rises vertically at the speed of 10ft/s

Distance = 10ft/s × 60seconds

Distance from the starting point per minute = 600ft