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3 years ago

6

In a right triangle, angle a measures 20. The side opposite angle a is 10 centimeters long. Approximately how long is the hypote

nuse of the triangle

2 answers:

AleksAgata [21]3 years ago

6 0

<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>

<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>

<span><span><span>
</span></span></span>

sergeinik [125]3 years ago

3 0

Answer:

29.24 centimeters

Step-by-step explanation:

The trigonometry of angles states that in a right angled triangle with sides a, b, c representing the opposite, adjacent and hypotenuse sides respectively, and an angle A° opposite the side a

Then,

Sin A° = a/c

Cos A° = b/c

Tan A° = a/b

Hence,

Sin 20° = 10/c

c = 10/Sin 20°

c = 29.24 centimeters

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