Step-by-step explanation:
To solve this question I would use the sin rule.
The sin rule states that
[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) } [/tex]
Therefore if you substitute in your numbers you get:
[tex] \frac{a}{ \sin(90) } = \frac{15}{ \sin(60) } [/tex]
If you rearrange that you get:
[tex]a = \frac{15}{ \sin(60) } \times \sin(90) [/tex]
Therefore a = 17.3 Inches (to 3 sf)
This can also be done with basic trigonometry where you would get
[tex] \sin(60) = \frac{15}{h} [/tex]
Rearranging to
[tex]h = \frac{15}{ \sin(60) } [/tex]
meaning the answer is 13.7 inches
