WILL MARK BRAINLIEST!!! NEED THIS ASAP!!
1 answer:
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
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