Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Ch. 3 -Acute Triangle Trigonometry
25 Mar 2024
nearest tenth of a metre?
How far is the point on the ground from the base of the building, to How tall is the crane?

x=27

55.\newlineCh. 33 -Acute Triangle Trigonometry\newline2525 Mar 20242024\newlinenearest tenth of a metre?\newlineHow far is the point on the ground from the base of the building, to How tall is the crane?\newlinex=27 x=27

Full solution

Q. 55.\newlineCh. 33 -Acute Triangle Trigonometry\newline2525 Mar 20242024\newlinenearest tenth of a metre?\newlineHow far is the point on the ground from the base of the building, to How tall is the crane?\newlinex=27 x=27
  1. Right Triangle Description: We have a right triangle with the crane's height as one leg (2727 meters) and the distance from the point on the ground to the base of the building as the other leg. We need to find the hypotenuse.
  2. Pythagorean Theorem Application: Let's call the distance from the point on the ground to the base of the building 'dd'. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (cc) is equal to the sum of the squares of the other two sides (aa and bb). So, c2=a2+b2c^2 = a^2 + b^2.
  3. Missing Information Issue: We know the height of the crane aa is 2727 meters, but we don't have the hypotenuse cc or the distance dd. The problem seems to be missing information, as we only have one side of the triangle. We can't solve for the hypotenuse without the length of the other leg or the hypotenuse itself.

More problems from Pythagorean theorem