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2 years ago

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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2 years ago

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3 years ago

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