Question

1. Write an equation to determine the height, h, of the building.

Answer: 5^2 +h^2 = 102

2. To the nearest tenth, determine the height of the
building.

Answer 1

8.7 m

Explanation:

Hi there!

`5^2+h^2=10^2`

To find the height of the building, we need to isolate h on one side of the equal sign. We will do this by performing inverse operations to both sides (ex. the inverse of addition is subtraction, the inverse of multiplication is division, etc.)

Firstly, we can simplify both sides by squaring 5 and 10:

`25+h^2=100`

Now subtract both sides by 25 to cancel it out on the left side and isolate h²:

`25+h^2-25=100-25\\h^2=75`

Now, take the square root of both sides to isolate h:

`√(h^2) =√(75) \\h=8.7`

Therefore, the height of the building is 8.7 m when rounded to the nearest tenth.

I hope this helps!