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aksik [14]
3 years ago
10

Find the value of x.(tangent)​

Mathematics
2 answers:
mariarad [96]3 years ago
8 0

Answer:

5\sqrt{2}

Step-by-step explanation:

Special triangle. 1:1:\sqrt{2}

yan [13]3 years ago
4 0

Step-by-step explanation:

Here

With reference angle 45°

hypotenuse (h) =x

perpendicular (p) = 5

Let

Sin45° = p/h

1/√2 = 5/ x

therefore x = 5√2

Now

b=?

Using Pythagoras theorem

b² = h² -p²

b² = (5√2)² - 5²

b² = 50 - 25

b² = 25

b² = 5²

Therefore b = 5

Now

tangent = p/b = 5/5 = 1

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