Respuesta :

By the 6 trigonometric ratios in a right triangle
 
(sine, cosine, tangent, cotangent, secant, cosecant)

we have the following:


[tex]\displaystyle{ sin20^o= \frac{opposite \ side}{hypothenuse}= \frac{x}{10} [/tex]


So, [tex]x=10\cdot sin20^o[/tex]


sin20° must be given, or can be found using a calculator:


Using the calculator of our pc: Calculator- view:Scientific- press 20 then sin button, we find : sin20°=0.342


[tex]x=10\cdot sin20^o=10\cdot0.342=3.42[/tex]


Answer: A)3.4

Answer:

A. 3.4

Step-by-step explanation:

We have been given a graph of a right triangle and we are asked to find the height of our given right triangle.

Since we know that sine relates the opposite side of a right triangle to hypotenuse, so we will use sine to find height of our given triangle.

[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

[tex]\text{Sin}(20^{o})=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

[tex]\text{Sin}(20^{o})=\frac{x}{10}[/tex]

[tex]0.342020143326=\frac{x}{10}[/tex]

[tex]0.342020143326\times 10=\frac{x}{10}\times 10[/tex]

[tex]0.342020143326\times 10=x[/tex]

[tex]x=03.42020143326\approx 3.4[/tex]

Therefore, the height of our given triangle is 3.4 units and option A is the correct choice.

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