A ladder leaning against a wall makes a 60degree angle with the ground. The base of the ladder is 4 meters from the building. How high above the ground is the top of the ladder?
picture in the comments

Question

A ladder leaning against a wall makes a 60degree angle with the ground.  The base of the ladder is 4 meters from the building.  How high above the ground is the top of the ladder?
picture in the comments

anonymous · Answer

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anonymous · Answer

There are known relationships for 30/60/90 triangles.  The sides are in a ratio (from the shortest to the longest) of 1/sqrt3/2.  In this case, we know the shortest side (4 m), so we can multiply by the proportion to get a height on the wall of 4sqrt3, meters, about 6.8 m.  Pretty big ladder, in my experience.

anonymous · Answer

well just use soh cah toa..and you will get your answer.

anonymous · Answer

i havent learned that yet im only in 10th grade and doing geometry