We need to find a tree such that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.
The length of the shadow is the adjacent side and is 35.
The height of the tree is the opposite side. Let it be x.
Tan ratio = opposite/adjacent
tan(40) = x/35
x = 35*tan(40) = 29.37
Answer: Height of the tree is 29 feet
Yes, a common denominator is just the smallest multiple of all numbers in a group.
So the common denominator of 4, 8 and 12 would be 4, because 4 goes into all those numbers.
Imagine right triangle PHF, where P - park, H - home and F - football field, then PH, PF are legs and HF is hypotenuse . Denote point L to be library. You know that point L lies on the segment FH and FL=8, LH=2. Also you know that PL is an altitude to the hypotenuse.
Use the property of altitude drawn from the vertex of right angle to the hypotenuse (the length of the altitude is geometrical mean between legs' projections onto hypotenuse):
mi.
This means that the distance between park and libriry is 4 miles.
Consider right triangle PLF ( angle L is right angle and PF - hypotenuse). By the Pythagorean theorem,
mi. The distance between park and football field is
miles.
Answer: the distance between park and libriry is 4 miles and the distance between park and football field is
miles.
The capacity is the same as the amount because it refers to the amount of what is inside the object. Lets say you have a bag of chips it refers to the amount inside the bag of chips.
The answer for this question is: Kepner tregoe