Question

Use trigonometry to determine the m

Answer 1

Here, we seek the angle adjacent to one of the given sides' length.

When given the hypothenuse and the adjacent lengths, we employ the SOH CAH TOA formulae.

This gives us:

`\begin{gathered} \cos \theta=(adjacent)/(hypothenuse)\text Notice the first letters were used for the acronym \\ \text{Therefore, }\theta=\cos ^(-1)(adjacent)/(hypothenuse) \end{gathered}`

Where

adjacent = 15

Hypothenuse = 34

Employing back into the formulae, we have:

`\begin{gathered} \theta=\cos ^(-1)((15)/(34)) \\ \theta=63.82^o \end{gathered}`

The missing angle is approximately 64 degrees