Answer:
28.3
Step-by-step explanation:
We know the horinzontal side is 40 because that measures our distance from us to the tree. From where we stand, it measures 30 degrees So this eats the angle between the hypotenuse and horizontal line measures 30 degrees. We are also given that our distance from the tree and the length of the tree form a 90 degree angle so this means we have a
30-60-90 triangle.
In this special right triangle, the side opposite of the 30 degree angle measure is x, the side opposite of the 60 degree angle measure is x times sqr root of 3, and the hypotenuse measure is twice the smallest side.
Now, our given side is 40. This side is opposite of 60 degrees So let try to find x.
[tex]x \sqrt{3} = 40[/tex]
[tex]x = \frac{40}{ \sqrt{3} } [/tex]
[tex]x = \frac{40 \sqrt{3} }{3} [/tex]
Which is about
[tex]23.1[/tex]
But we are not done. We measure 5'2. But this measure tell us the measure of the tree when we at a arbitrary height. In order to find, it full height. We add 5 and 2/12 feet.
We get
28.3
