Question

I need help with my school final and I am very lostFind the resultant and the angle

Answer 1

We have the triangle below:

The value of x can be found using Pythagoras theorem:

`hypothenuse^2\text{ = opposite}^2\text{ + adjacent}^2`

Substituting we have:

`x^2\text{ = 16}^2\text{ + 36}^2`

Solving for x:

`\begin{gathered} x^2\text{ = 1552} \\ x\text{ = }√(1552) \\ x\text{ = 39.39} \end{gathered}`

Answer: 39.4 feet

The value of the angle can be found using the formula:

`\begin{gathered} \theta\text{ = }\tan^(-1)((16)/(36)) \\ \theta\text{ = 23.96 } \\ \theta\text{ }\approx\text{ 24}^0 \end{gathered}`