Question

In a triangle XYZ, ∠Y is right angle, XZ = 17 m and YZ = 15 cm, then find(i) sin X (ii) cos Z (iii) tan X

Answer 1

In a triangle XYZ, angle Y is right angle.

So, Hypotenuse is XZ=17cm

YZ=15cm

Pythagoras theorem says:

XZ^2=XY^2+YZ^2

XY^2=17^2-15^2

XY^2=64

= > XY=8cm

Sin X= Opposite side of angle X / Hypotenuse

=YZ/XZ

Sin X = 15/17

Cos Z =Adjacent side of angle Z / / Hypotenuse

=YZ/XZ

Cos Z = 15/17

Tan X = Opposite side of angle X / Adjacent side of angle X

=YZ/XY

Tan X = 15/8

Answer 2

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