Answer:
42.2 ft
Explanation:
The given scenario can be modelled as a right triangle (see attached diagram), where the angle of elevation is 32°, and the length of the kite string (75 ft) is the hypotenuse.
We want to find the distance the kite is above the ground, so we want to find the side of the right triangle that is opposite the given angle. To do this, we can use the sine trigonometric ratio.
Substituting θ = 32° and H = 75 into the ratio, we get:
The angle of elevation is the angle between the horizontal plane and the line of sight from an observer to an object located at a higher position.
In this scenario, the angle of elevation is measured from Savannah's hand, which is a distance of 2.5 ft above the ground. Therefore, we need to add 2.5 ft to the value of O found using the sine ratio.
Therefore, the kite is 42.2 ft above the ground (rounded to the nearest tenth).