Question

Direction:Find the value of x(item no.1-5).Find the value of x and y (6-10).




6. _______
/ \
/45°______45°
3​

Answer 1

Given : Right angle triangle  

To find :   value of x and y  

Solution:

Tan ( angle)  =  Perpendicular /  Base

Sin  ( angle)  =  Perpendicular /  Hypotenuse

Cos  ( angle)  = Base /  Hypotenuse

Side opposite to angle is Perpendicular

Side adjacent to  angle is Base

Longest side is hypotenuse ( opposite to right angle )

Cos 60° = 6/x  =>  1/2 = 6/x => x = 12

tan  30° = 10/x  =>  1/√3 = 10/x => x = 10√3

sin 30° = x/16  =>  1/2 =  x/16 => x =  8

Similarly other can be found

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