Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.
a = height of tree = ?
b = distance from the bird on the ground to the base of the tree = 8 metres
c = distance bird travelled from the ground to the top of the tree = 9 metres
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 = 9^2 - 8^2
a = square root of ( 9^2 - 8^2 )
a = square root of ( 81 - 64 )
a = square root of ( 17 )
a = 4.123...
a = 4.1 ( rounded to the nearest tenth )
FINAL ANSWER:
Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).
Hope this helps! :)
Have a lovely day! <3
A + b = d+c
<span>a - b = e - c </span>
The b and c cancel out.
<span>2a = d+e </span>
<span>a = (d+e)/2 </span>
Answer:
Below.
Step-by-step explanation:
SO basically. E is our main "Subject:
so let's break this down we know it's not h because it's the same thing. You never specified the angle it's rotated by but it is f.
It is a solution, hope this helped