Question

Find the values of w, x and y.

Answer 1

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