Question

Can someone please help me find x and explain how i know which of the three to use and how to work it out

Answer 1

Given :

• A triangle with hypotenuse = 5mm & angle measuring 90° & 29°

To find :

• The base of the triangle

Solution :

Using the law of sines,

• 
  `(a)/( \sin A) = (b)/( \sin B ) \\`

where ,

• a = x
• Sin A = 29°
• b = 5mm
• Sin B = 90°

putting the values ,

• 
  `(x)/( \sin(29) ) = (5mm)/( \sin(90) ) \\`
• 
  `(x)/( 0.49 ) = (5mm)/( 1) \\`
• 
  `x = 5mm * 0.49`
• 
  `x = 2.45mm`

Therefore,the value of x would be equal to 2.45mm.