Mathematics
06.02.2022 04:11
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How do i solve this?​

How do i solve this?​
How do i solve this?​
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tae8002001
tae8002001
4,8(44 marks)

m∠R = 60°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA  [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = ∠R

Opposite Leg of ∠R = 10√3

Hypotenuse = 20

Step 2: Solve

Substitute in variables [sine]:                                                                         \displaystyle sin(R^\circ) = \frac{10\sqrt{3}}{20}[Equality Property] Trig inverse:                                                                    \displaystyle R^\circ = sin^{-1}(\frac{10\sqrt{3}}{20})Evaluate trig:                                                                                                   \displaystyle R = 60^\circ
Kianna000
Kianna000
5,0(81 marks)

The answer is C

Hope this helps

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