Respuesta :

IjlalHashmi

Answer:

h = 2.12 , c = 6.93

Step-by-step explanation:

To calculate h:

Apply the cosine identity

[tex]cos\ x =\frac{base}{hypotenuse}\\\\cos\ 45=\frac{h}{3}\\\\0.707=\frac{h}{3}\\\\h=3(0.707)\\h=2.12\\[/tex]

To calculate c:

Apply the tangent identity

[tex]tan\ x=\frac{perpendicular}{base}\\\\tan\ 60=\frac{c}{4}\\\\1.732=\frac{c}{4}\\\\c=1.732(4)\\c=6.93\\[/tex]
h= 2.1
C=6.9

Double check my answers using the picture below or by the long way (Pythagorean’s)

I suggest you memorize the drawings by heart because the 30-60-90 and the 45-45-90 right triangles are considered special in geometry and they will keep testing you on them until you graduate from university !

Hope it helps.
Ver imagen zorro92

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