Question

The legs of a right triangle measure 5 inches and 7 units. If (theta) is the angle between the 7-inch leg and the hypotenuse, sin(theta) = _____.

Answer 1

start by drawing a picture

Answer 2

\[\sin(\theta)= 7/hyp\]
\[5^{2}+7^{2}=c ^{2}\]
\[25+49=c ^{2}\]
\[74=c ^{2}\]
\[0.86023=c\]
right?

Answer 3

So \[\sin(\theta)=7/0.86023\]
\[\sin(\theta)=8.14\]

Answer 4

@campbell_st

Answer 5

well you have an error with the hypotenuse

\[c^2 = 74...... c = \sqrt{74} .......... c = 8.6\]

then find the side that is opposite the angle.... (its not 7)

then write the ratio.....

Answer 6

remember, the hypotenuse is always the longest side....

Answer 7

Oops, I had that written on my paper just typed it wrong.

Answer 8

So, \[\sin(\theta)=7/8.6\]
\[\sin(\theta)=0.81\]