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Goryan [66]
3 years ago
5

What is the value of x? enter your answer in the box.​

Mathematics
2 answers:
Tatiana [17]3 years ago
3 0

im pretty sure its 85

please correct me if im wrong!

Savatey [412]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

We require to find RT

Since ΔRST is right use the sine ratio to find RT

sin60° = \frac{opposite}{hypotenuse} = \frac{2\sqrt{3} }{RT}

Multiply both sides by RT

RT × sin60° = 2\sqrt{3} ( divide both sides by sin60° )

RT = \frac{2\sqrt{3} }{sin60} = 4

-----------------------------------------------------------------------

Since ΔRTQ is right use the tangent ratio to find x

tan45° = \frac{RQ}{RT} = \frac{x}{4}

Multiply both sides by 4

4 × tan45° = x, hence

x = 4 × 1 = 4

That is x = 4

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