Question

Find the angle measure to the nearest tenth of a degree:
A. 7.2 degrees
B. 82.8 degrees
C. 1.4 degrees
D. 0.1 degrees

Answer 1

Answer:

B. 82.8°

Step-by-step explanation:

-Given that $\theta=tan^{-1} 7.9321$

-We simply use our calculators to calculate the tan inverse 7.9321 as:

$tan^{-1} 7.9321=82.81463$

-When rounding off to the nearest tenth, we check the digit in the hundredth:

• if more than 4, we round up
• if less than 5, we round down to the previous term

$82.81463\approx 82.8$

Hence, the angle theta is 82.8°

Answer 2

Value of given θ is 82.8°

Given that;

θ = tan⁻¹ 7.9321

Find:

Value of θ

Computation:

θ = tan⁻¹ 7.9321

By inversing tanθ

Tanθ = 7.9321

Tanθ = Tan[82.8]

θ = 82.8°

Value of θ = 82.8°

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