Answer:
perimeter = 8
Step-by-step explanation:
We require to calculate the area (A) of the circle
A = πr² ← r is the radius
circumference = 4π = 2πr, hence
2πr = 4π ( divide both sides by 2π )
r = 2, hence
A = π × 4 = 4π
The area of the square is therefore 4π and area = s² ← s is the side length
s² = 4π ( take the square root of both sides )
s = = 2
, hence
perimeter = 4 × 2 = 8
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, <em>l</em> = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, <em>d</em>, the height of the balloon, <em>h</em> and the horizontal distance to the balloon, <em>l</em>, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
From which we get;
The distance to the top of the balloon, <em>d </em>≈ 33.977 m