Answer:
Rounded to the nearest tenth: in
Rounded to the nearest hundredth: in
Step-by-step explanation:
We have a right triangle with a given angle of 35°. We also have the opposite side of that angle, , and its hypotenuse 10 in. To find
, we are using the trig function that relates the opposite side with the hypotenuse; in other words, the sine trig function.
Rounded to the nearest tenth: in
Rounded to the nearest hundredth: in
From the given information, we get the value of ABC = 120°.
<h3>How to estimate the value of ABC?</h3>
Given: In the figure, O exists the center of the circle and OABC exists as a parallelogram.
Now, the radius of the circle exists
OA = OB = OC
Opposite sides of a parallelogram are equal
AB = OC and OA = BC
In ∆OAB,
OA = OB = AB and,
In ∆OCB,
OC = OB = BC
Therefore, ∆OAB and ∆OCB exist in equilateral triangles.
All angles of an equilateral triangle are equivalent to 60°.
Hence, ∠ABC = ∠OBA + ∠OBC
∠ABC = 60° + 60°
∠ABC = 120°
Therefore, the value of ∠ABC = 120°.
To learn more about parallelogram refer to:
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