Select an appropriate function to find the angle $\theta$(rounded to the nearest tenth of a degree).
A) 36.9°
B) 41.4°
C) 48.6°
D) 53.1°

Question

Select an appropriate function to find the angle $\theta$(rounded to the nearest tenth of a degree). 
A) 36.9° 
B) 41.4° 
C) 48.6° 
D) 53.1°

Quizplus · Accepted Answer

To find the angle F1F1F1S1F1F1F10, we need to use the inverse tangent function (tan⁻¹).

First, we need to find the length of F1F1F1S1 by using the Pythagorean theorem:

F1F1F1S1 = √(F1F1F1F2² + F2SF1²) 
= √(6² + 6²) 
= √72

Next, we need to find the length of F1F1F10 by using the distance formula:

F1F1F10 = √[(F1F1 - F10F1)² + F1F1F2² + F10F2²] 
= √[(8 - 4)² + 6² + 6²] 
= √100 
= 10

Finally, we can use the inverse tangent function to find the angle:

tan⁻¹(F1F1F10 / F1F1F1S1) 
= tan⁻¹(10 / √72) 
≈ 41.4°

Therefore, the best choice is B.

Select an Appropriate Function to Find the Angle θ\thetaθ (Rounded to the Nearest Tenth of a Degree)