If you are standing 22 feet straight from a tree and you look at the top of the tree with a distance of 33 feet how tall would the tree be?

Answer 1

First draw a picture. So draw a stick figure looking at a tree. So the figure (you) is 22 ft away from the tree, so draw a line from you to the tree and label it 22ft. Next you said that you look to the top of the tree which is 33 ft away, then draw a line from the your figure to the top of the tree. Connect the top of that line to the one below. You have drawn a right triangle. The base of the triangle is 22ft long, its hypotenuse is 33ft (This is what Im assuming based on your question's wording). what you are solving for is the height of the tree.
Since this forms a right triangle you need to use the Pythagorean Theorem or a^2+b^2=c^ (or side^2+side^2=hypotenuse^2)

So.... 22^2+x^2=33ft^2

605+x^2=1089 - Square the numbers you have
x^2=1089-484 -Subtract 605 to get x^2 by itself
x^2=605 -Now x^2=605, solve for x
x= about 24.6ft -Take the square root of 605....

So the tree is 24.6ft tall.

I hope this helps, remember right triangles are amazing, so when you see a right triangle you may need to use the Pythagorean Theorem.*

*You may need to use SOH CAH TOA if you are given only one side and two angles.
**Drawing out a picture and labeling it can help you keep track of information you get in a word problem.

Good Luck in the rest of your studies~! -M.

Answer 2

Use Pythaorean Theorem
a^2+b^2=c^2