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The picture below shows a pole and its shadow:

A pole is shown with a right triangle side. The right triangle has hypotenuse 365 cm and base 27 cm.
What is the height of the pole? (1 point)

Select one:
a. 196 centimeters
b. 244 centimeters
c. 338 centimeters
d. 364 centimeters


Sagot :

Answer:  220cm

Step-by-step explanation:

Let's make the base of this triangle 'a' which we know is 21cm

While 'a' and 'b' in Pythagorean are interchangeable, 'c' will ALWAYS be the hypotenuse.

That being said, we also know that 'c' is 221cm

Once we plug in the numbers we have been given, our formula looks like this: 21 squared + b squared = 221 squared

Now it's time to square 'a' and 'c'

Our equation is now simplified to: 441 + b squared = 48841

Now, we need to isolate 'b squared' to find it's value. We do this by subtracting 441 from both sides (it needs to be from both sides to keep the equation even)

With 441 subtracted from both sides, our equation is now: b squared = 48400

Our last step is to find the square root of both sides of the equation, because 'b' is the value of the height of the triangle, but right now we have 'b squared' so to turn that into 'b' we have to find the square root of 'b squared', which would give us 'b' (square roots and squares cancel each other out).

We know that whatever we do to one side must also be done to the other, so since we just found the square root of 'b squared', now we need to find the square root of 48400, which is 220.

That would make our equation: b = 220

b = height = 220

Answer:

D.) 364 centimeters

Step-by-step explanation:

365 Δ 27

     364

27 + 364 = 391

(you have to add the smaller numbers together so that they are bigger than the hypotenuse.)