Question

Find the value of x. Round your answer to the nearest tenth.2116

Answer 1

Let's begin by listing out the information given to us:

height (opposite) = 21, breadth (adjacent) = 16, x = ?

We have the length of the side opposite angle x and we have the length of the side adjacent to angle x. This informs us of the trigonometric ratio to us

We will use the trigonometric ratio to calculate for x as shown below:

`\begin{gathered} Tan(x)=(opposite)/(adjacent)=(21)/(16)=1.3125 \\ Tan(x)=1.3125 \\ x=tan^(-1)(1.3125)=52.69=52.7 \\ \therefore x=52.7^(\circ)NearestTenth) \end{gathered}`