SOLUTION: A right triangle has legs that measure 8 cm and 18 cm. What is the measure, in degrees, of the smallest interior angle of the triangle?

Question 934637: A right triangle has legs that measure 8 cm and 18 cm. What is the measure, in degrees, of the smallest interior angle of the triangle?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A right triangle has legs that measure 8 cm and 18 cm. What is the measure, in degrees, of the smallest interior angle of the triangle?
--------------
Draw the picture::
The smallest angle (x), is oopposite the smallest side (8).
---
Equation:
tan(x) = 8/18
----
Ans:: x = arctan(8/18) = 22.96 degrees = 22 deg 57 min 36 sec
----------------
Cheers,
Stan H.
--------------------
RELATED QUESTIONS
The two legs of a right triangle measure 37 inches and 45 inches, respectively. What is... (answered by reviewermath)

If the legs of a right triangle measure 5 cm and 12 cm, what is the length of the... (answered by user_dude2008)

The legs of a right triangle measure 20 cm and 21 cm. What is the length of the... (answered by jorel1380)

A triangle has interior angles that measure 70 degrees and 40 degrees. What is the... (answered by stanbon)

The sides of a triangle measure 13 cm, 16 cm, and 23 cm. What is the measure of the... (answered by Alan3354)

Help me figure this out, In a triangle, two sides that measure 6 cm and 10 cm form an... (answered by rothauserc)

What is the hypotenuse of a right triangle that has legs measuring 6 cm and 8... (answered by chessace)

two legs of a right triangle have lengths eight and twelve. what is the measure of the... (answered by reviewermath)

If s = 7 cm and t = 9 cm, what is the measure of angle ? this is or a right... (answered by Alan3354)