In the diagram of right triangle ABC shown below, AB = 14 and AC = 9. What is the measure of angle A to the nearest degree? a-40
b-57
c-33
d-50

The measure of angle A to the nearest degree is 50 degrees

Find the diagram attached. From the diagram we are given the following

Adjacent side = AC = 9 (adjacent to m<A)

Hypotenuse side = AB = 14

Using the SOH CAH TOA identity;

Cos <A = adjacent/hypotenuse

Cos <A = 9/14

<A = arccos (9/14)

m<A = arccos (0.6429)

m<A = 49.99degrees

hence the measure of angle A to the nearest degree is 50 degrees

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This question is incomplete because it lacks the diagram of the right angled triangle. Find attached to this answer the diagram of the right angle triangle.

d-50

Step-by-step explanation:

Looking at the attached diagram, the only way to solve for this is the use of the trigonometric function. The trigonometric function to be used is the cosine function.

From the diagram, we are given

Hypotenuse = AB = 14

Adjacent = AC = 9

The measure of angle A to the nearest degree is calculated as:

cos θ = Adjacent / Hypothenuse

cos θ = 9/14

θ = cos -¹ (9/14) or arccos(9/14)

θ = 49.994799115°

To the nearest degree = 50°

Therefore,the measure of angle A to the nearest degree = 50°