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agasfer [191]
2 years ago
11

Find the values of w, x and y.

Mathematics
1 answer:
elixir [45]2 years ago
5 0

Answer:

w= 27.47 degree

x=9.99 cm

y=12.02 cm

Step-by-step explanation:

The value of w:

In a right-angled triangle \tan \theta = \frac {\text{Perpendicular}}{\text{Base}}

\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}

So, 34 \tan w = 9\tan (63)

\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\

w= 27.47 degree

The value of x:

In a right-angled triangle \sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}

sin (27) =x/22

x= 22sin(27)

x=9.99 cm

The value of y:

By using Pythagoras theorem,

y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\

y=12.02 cm

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