A 10-meter cable is stretched from the top of a pole to an anchor on the ground. It is anchored on the ground 4 meters away from the base of the pole. How tall is the pole?

Question

Vocaloid · Answer

always a good idea to sketch the situation

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we have a right triangle with hypotenuse 10 and leg 4. to find the length of the pole (the other leg) we can use the pythagorean theorem.

a^2 + b^2 = c^2

plug in a = 4 (one of the legs) and c = 10 (the hypotenuse) and solve for b (the other leg of the triangle)