Question

Length of shawdow of building 32m. The distance from the top to the tip of the shadow is 38m . find the height of the building

Answer 1

Hello there!

Your question asks to find the height of the building.

Answer: 20.49 meters

To find the answer to your question, we would need to use the Pythagorean theorem.

Pythagorean Theorem: $a^2+b^2=c^2$

What we would do is plug in the numbers that we already know into the equation, and then we simply solve.

We would plug 32 to a and plug 38 into c

Your equation should look like this:

$32^2+b^2=38^2$

Now, we solve:

$32^2+b^2=38^2\\\\1024+b^2=38^2\\\\1024+b^2=1444\\\\b^2=420\\\\\sqrt{b} =\sqrt{420} \\\\b=20.493$

We would jkust round to the nearest hundredths place, therefore giving you the answer of 20.49.

This means that the height of the building would be 20.49 meters

20.49 meters would be your FINAL answer.

I hope this helps!

Best regards, MasterInvestor

Answer 2

Answer:

20.49 feet to the nearest hundredth.

Step-by-step explanation:

Using the Pythagoras Theorem:

38^2 = h^2 + 32^2

h^2 = 38^2 - 32^2

h^2 = 420

h = √420

h = 20.494 m.