Respuesta :
In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse
The distance from the top of the tree to the shadow is 40.8 ft.
From the given figure:
cos theta = adjacent/hypotenuse
cos 36= 33/H
H=33/cos 6= 40.8 ft
From the given figure:
cos theta = adjacent/hypotenuse
cos 36= 33/H
H=33/cos 6= 40.8 ft