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?

Mathematics

1 answer:

olga_2 [115]3 years ago

7 0

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.

Answer:

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°

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Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

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Peter's age is: 4x= 4*8= 32

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Kryger [21]

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Step-by-step explanation: