What is the measure of angle LKJ? Round to the nearest whole degree

byAlex Kataev·Sep 18, 2024

The measure of angle LKJ, rounded to the nearest whole degree, is 49°. Angle LKJ can be calculated using the inverse tangent (arctan) function with the given ratio of 8.9/7.7. This measurement is rounded to the nearest whole degree as requested in the query.

Calculation method to measure angle LKJ

To calculate angle LKJ degrees:

Use inverse tangent function: The angle can be calculated using the formula θ = tan^(-1)(opposite/adjacent)
Input the given ratio: In this case, tan(LKJ) = 8.9/7.7
Apply the inverse tangent: LKJ = tan^(-1)(8.9/7.7)

Step-by-step solution to measure angle LKJ

Set up the equation to calculate angle LKJ degrees: LKJ = tan^(-1)(8.9/7.7)
Use a scientific calculator:
- Set the calculator to Degree mode
- Input tan^(-1)(8.9/7.7) or use the arctan function
Calculate the result to measure angle LKJ: LKJ ≈ 49.1419°
Round to the nearest whole degree for the final angle LKJ measurement: LKJ ≈ 49°

Verification of angle LKJ measurement

The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side
In this case, 8.9 represents the opposite side and 7.7 the adjacent side
The result falls within the expected range for a right triangle (between 0° and 90°)

Alternative methods to calculate angle LKJ degrees

Sine law: Could be used if other triangle information was provided
Cosine rule: Another option if additional side lengths were known

FAQ

What is the measure of angle LKJ rounded to the nearest whole degree?

The measure of angle LKJ, rounded to the nearest whole degree, is 49°.

How do you calculate angle LKJ degrees?

To calculate angle LKJ degrees, use the inverse tangent (arctan) function with the ratio 8.9/7.7. The formula is: LKJ = tan^(-1)(8.9/7.7).

What is the angle LKJ measurement rounded?

The angle LKJ measurement rounded to the nearest whole degree is 49°.

Why is the inverse tangent function used to calculate angle LKJ?

The inverse tangent function is used because we are given the ratio of the opposite side (8.9) to the adjacent side (7.7) of the right triangle, which represents the tangent of the angle.