For the given situation, angle of depression is 18 degrees and the horizontal distance from the driver's eyes to the front of the car is 5 feet then the bumpers are 5.26 feet apart from the nearest foot.
As given in the question,
Angle of depression between driver's eye to bottom of 3 foot high back end of car front is equal to 18°
Horizontal distance from the driver's eyes to the front of the car = 5 feet
Let us consider 'x' be the distance between bumper and nearest foot .
For the given situation right angle triangle get formed,
x represents the hypotenuse of the triangle,
5 feet is the base of the triangle
Using cosine rule,
cos 18° = 5 / x
⇒ x = 5 / cos 18°
⇒ x = 5 / 0.9511
⇒ x = 5.26 feet (approximately)
Therefore, for the given situation, angle of depression is 18 degrees and the horizontal distance from the driver's eyes to the front of the car is 5 feet then the bumpers are 5.26 feet apart from the nearest foot.
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