Answer:
[tex]a = 17 \sqrt{2} [/tex]
Step-by-step explanation:
To find a we use sine
sin ∅ = opposite / hypotenuse
From the question
a is the hypotenuse
17 is the opposite
Substitute the values into the above formula
That's
[tex] \sin(45) = \frac{17}{a} [/tex]
[tex]a \sin(45) = 17[/tex]
[tex]a = \frac{17}{ \sin(45) } [/tex]
[tex] \sin(45) = \frac{ \sqrt{2} }{2} [/tex]
[tex]a = \frac{17}{ \frac{ \sqrt{2} }{2} } [/tex]
We have the final answer as
[tex]a = 17 \sqrt{2} [/tex]
Hope this helps you
