227k views
4 votes
To the nearest hundredth of a centimeter, what is the length of the hypotenuse?

To the nearest hundredth of a centimeter, what is the length of the hypotenuse?-example-1

2 Answers

4 votes
------------------------------------------------------------

\text {Use sin x = } (opp)/(hyp)
------------------------------------------------------------


sin (30) = (53.57)/(y)


y = (53.57)/(sin (30))


y = 107.14 \ cm

------------------------------------------------------------
Answer: 107.14 cm
------------------------------------------------------------

User Llasarov
by
8.0k points
4 votes
We see that this right triangle has a 30°-angle, meaning the remaining angle must be 60° (sum of angles must be 180°). This means the triangle is what we call a special right triangle, specifically, a 30°-60°-90° triangle.

The sides of such a triangle are in a ratio where the shortest leg (across from the 30°-angle) is x, the hypotenuse is 2x, and the longest leg is x√3.

Here, we are given the shortest leg, 53.57 cm. To get the hypotenuse, we double this length to get 107.14 cm.
User Sjacob
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories