Joanie is making a map of the trails in the community park . Two of the trails start at the same point and a forty degree angle.
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Answer:
Step-by-step explanation:
We are asked to find the measure of angle a.
This triangle is a right triangle because of the small triangle in the corner representing a 90 degree or right angle. Therefore, we can use trigonometric functions. The three main functions are:
- sinθ=opposite/hypotenuse
- cosθ= adjacent/hypotenuse
- tanθ= opposite/adjacent
The side measuring 6 is adjacent or next to angle a. The side measuring 9 is opposite angle a. Therefore, we will use the tangent function.
Since we are solving for an angle measure, we use the inverse trigonometric function.
Round to the nearest tenth. The 0 in the hundredth place tells us to leave the 3 in the tenth place.
The measure of angle a is approximately 56.3 degrees.