Questions: 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? (1) 33 (3) 50 (2) 40 (4) 57

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? (1) 33 (3) 50 (2) 40 (4) 57
Transcript text: 9 In the diagram of right triangle ABC shown below, $\mathrm{AB}=14$ and $\mathrm{AC}=9$. What is the measure of $\angle \mathrm{A}$, to the nearest degree? (1) 33 (3) 50 (2) 40 (4) 57
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the given information

We are given a right triangle ABC, where AB = 14 (hypotenuse) and AC = 9 (adjacent side to angle A). We need to find the measure of angle A.

Step 2: Choose the appropriate trigonometric function

Since we are given the hypotenuse and the adjacent side, we can use cosine: cos(A) = adjacent/hypotenuse = AC/AB = 9/14

Step 3: Calculate the angle

A = arccos(9/14) ≈ 50°

Final Answer: The final answer is $\boxed{50}$

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Find the values of x and y from the diagrams below.
failedAnswered
q(x) = 7/(3x^3) if x < 1 -5/3 x if x > 1 Step 1 of 3: Identify the general shape and direction of the graph of this function on the interval (-∞, 1).
failedAnswered
Find the area under the standard normal distribution curve between z=-2.49 and z=1.13. Use The standard Normal Distribution Table and enter the answer to 4 decimal places. The area between the two z values is
failedAnswered
John is paid a weekly salary of 380 plus 8% of his sales. Draw a graph in which sales are measured on the horizontal axis and wages on the vertical axis. Then use the graph to estimate John's sales if his week's pay is 510. A. About 1,635 B. About 1,625 C. About 1,620 D. About 1,632
failedAnswered
Solve by using the quadratic formula. (Enter your ans w=1/w^2 - 4/w + 3 = 0