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Tanya [424]
3 years ago
5

I want to know what is the answer to this?

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

x = 1.5\sqrt{14}

Step-by-step explanation:

since the triangle is right we can use the trig. ratio sine to solve

sin 45° = \frac{opposite}{hypotenuse} = \frac{1.5\sqrt{7} }{x}

multiply both sides by x

x sin45° = 1.5\sqrt{7}

using sin45° = \frac{1}{\sqrt{2} }, then

x ×\frac{1}{\sqrt{2} } = 1.5\sqrt{7}

multiply both sides by \sqrt{2}

x = 1.5\sqrt{7} ×\sqrt{2} = 1.5\sqrt{14}


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I need help please!!!!
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Answer:

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Step-by-step explanation:

first we have to see that we have the measurements from all sides

and we know that the angle between side 21 and 20 is 90 degrees

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

let's take the left angle as α

sin α = 21/29

α = sin^-1 (21/29)

α = sin^-1 (0.7241)  

α = 46.397

Now we do the same with the smaller triangle

tan α = o/a

sin 46.397  = x/20

0.724 = x/20

0.724 * 20 = x

14.48 = x

x = 14.48

if we want to check it we can do the same procedure with the other angle

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