Question

The height of building A is 210 m and the height of building B is 350 m. The two are 240 m away from each other. How long should a ladder be for a person to go from the top of A to the top of B.

Answer 1

Answer:

The length of the ladder should be 277.85 meters long

Explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

I have created an illustration and attached it as a photo below to better help you understand the situation. As seen on the illustration the difference in height of Building B from Building A is,

$350m-210m = 140m$

Now that we have the difference we need to find the length of the ladder which is the hypotenuse between the two buildings. We can calculate this by using the Pythagorean theorem which is the following

$h^{2} = a^{2} +b^{2}$

Now we can plug in the values and solve for the hypotenuse (h)

$h^{2} = 240^{2} +140^{2}$

$h^{2} = 57,600 +19,600$

$h^{2} = 77,200$ ... square root of 77,200

$h = 277.85m$ .... rounded up

Therefore, the length of the ladder should be 277.85 meters long

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