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45 votes
45 votes
Find the measure of the indicated angle to the nearest degree.^can someone explain?

Find the measure of the indicated angle to the nearest degree.^can someone explain-example-1
User Stompchicken
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1 Answer

14 votes
14 votes

Answer:

60 degrees

Step-by-step explanation:

In the diagram:

• The side length opposite the indicated angle = 29

,

• The side length adjacent to the indicated angle = 17

Let the indicated angle = x

Applying trigonometric ratios:


\begin{gathered} \tan x=\frac{\text{Opposite}}{\text{Adjacent}} \\ \tan x=(29)/(17) \\ x=\arctan \mleft((29)/(17)\mright) \\ x=59.6\degree \\ x\approx60\degree \end{gathered}

The indicated angle is 60 degrees correct to the nearest degree.

User Orlland
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