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In this triangle, what is the value of x?

Enter your answer, rounded to the nearest tenth, in the box.

In this triangle, what is the value of x? Enter your answer, rounded to the nearest-example-1

2 Answers

2 votes

Answer: the answer is 67.1

User Navin
by
8.7k points
2 votes

Answer:

x = 66.93

Explanation:

By pythagoras theorem,

72² = 28² + y²

⇒ y² = 72² - 28²

⇒ y² = 4400

⇒ y = 66.33

sin x = opposite/hypotenuse

sin x = 66.33/72

sin x = 0.92


x = sin^(-1) (0.92)

x = 66.93

User Cong Nguyen
by
7.8k points

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