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Find the height of the triangle


10 points!

Find the height of the triangle 10 points!-example-1
User Marsman
by
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2 Answers

3 votes

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.


\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}


\text{Sin}(20^(o))=\frac{\text{Opposite}}{\text{Hypotenuse}}


\text{Sin}(20^(o))=(x)/(10)


0.342020143326=(x)/(10)


0.342020143326* 10=(x)/(10)* 10


0.342020143326* 10=x


x=03.42020143326\approx 3.4

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

User RisingDarkness
by
7.9k points
0 votes
By the 6 trigonometric ratios in a right triangle

(sine, cosine, tangent, cotangent, secant, cosecant)

we have the following:



\displaystyle{ sin20^o= (opposite \ side)/(hypothenuse)= (x)/(10)


So,
x=10\cdot sin20^o


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



x=10\cdot sin20^o=10\cdot0.342=3.42


Answer: A)3.4

User Blazs
by
8.7k points

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