Explain please -- Find the measure of angle A to the nearest degree. a. 26 b. 27 c. 63

Question

asked Apr 11, 2021 48.4k views

1 Answer

Patrick Beardmore · Answer 1 · 2021-04-18T02:57:36+0000

Step-by-step explanation:

We'll use the tangent ratio to connect the opposite and adjacent sides with the reference angle

tan(angle) = opposite/adjacent

tan(A) = 14/7

Then use the arctangent function (aka inverse tangent) to fully isolate A

A = arctan(14/7)

A = 63.4349 degrees approximately; make sure your calculator is in degree mode

Round this to the nearest whole number to get 63.