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
