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What is the measure of angle A to the nearest 10th of a degree

What is the measure of angle A to the nearest 10th of a degree-example-1
User Lausbert
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Answer: A = 70 degrees

Step-by-step explanation:

The given triangle is a right triangle. Considering angle A as the reference angle,

opposite side = BC = 11

adjacent side = AC = 4

We would find the measure of angle A by applying the tangent trigonometric ratio which is expressed as

tanθ = opposite side/adjacent side

By substituting the given values, we have

tanA = 11/4

tanA = 2.75

We would find the measure of angle A by finding the inverse of tan 2.75. Thus,

A = tan^-1(2.75)

A = 70.01689

Rounding to the nearest tenth,

A = 70 degrees

User Onelaview
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