Question

Use Right Triangle Trigonometry to find the length of the hypotenuse. Round to the nearest whole number,

Answer 1

To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem. In this case, with side lengths of 9 blocks and 5 blocks, the hypotenuse is approximately 10.3 blocks.

Step-by-step explanation:

The hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we have a triangle with one side measuring 9 blocks and another side measuring 5 blocks. So, using the Pythagorean theorem, we can calculate the hypotenuse as follows:

c = √(9 blocks)² + (5 blocks)²

c = √81 + 25

c = √106

c ≈ 10.3 blocks (rounded to the nearest whole number)

Answer 2

13

Step-by-step explanation:

Use sin = opposite/hypotenuse

Setup an equation. I'm going to use x to represent the hypotenuse.

`sin44=(9)/(x)`

Now move the x to the other side by multiplying. We want to solve for x.

`x(sin44)=((9)/(x))x`

The x cancels on the right side. Now divide both sides by sin44. To get by itself on the left.

`(x(sin44))/(sin44) = (9)/(sin44)`

`x = (9)/(sin44)`

Use your scientific calculator, make sure it is on degrees, and divide 9 by sin44.

`x = 12.9560088566`

Round to the nearest whole number

`x = 13`