jayven67
Answered

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Can I please get a thorough way of how solve this question I don't understand what to do.

Can I Please Get A Thorough Way Of How Solve This Question I Dont Understand What To Do class=

Sagot :

johnny837

Answer:

HI: 17.9

GH: 22.1

Step-by-step explanation:

1) There are three trigonometric ratios for right-angled triangles.

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent.

2) Opposite to the 90° lies the hypotenuse. Opposite to the given angle lies the opposite.

Beside the given angle lies the adjacent.

3) The value of G given to us is 54°. The length of GI is 13. We are asked to find the lengths of HI and GH. We cannot find GH (we can, but I prefer the current method) without the length of HI. Let's find HI.

Tan(54) = x/13

Tan(54) × 13 = x

x = 17.89

4) We can use the Pythagorean theorem to find the length of GH. His theorem is c² = a² + b².

c² = a² + b²

c² = 13² + 17.89²

c² = 489.0521

c = √489.0521

c = 22.11

5) Round off the answers to the nearest tenth.

HI = 17.9

GH = 22.1

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