Question

Let angle d be an acute angle such that cos d= 0.64. Use a calculator to approximate the measure of angle d to the nearest tenth of a degree

Answer 1

`d=50.2^o`

Step-by-step explanation

We are given that d is an acute angle, such that:

`\cos (d)=0.64`

To find the value of d, we have to find the cosine inverse of both sides of the function.

That is:

`\cos ^(-1)(\cos (d))=\cos ^(-1)(0.64)`

Now, simplify:

`\begin{gathered} d=cos^(-1)(0.64) \\ d=50.2^o \end{gathered}`

That is the value of d.