Can someone help me?

enter image source here

2 Answers
Hriman
Apr 10, 2018

#16.3 " cm"#

Explanation:

Law of sines will be implemented:

  1. Find the angle of the third angle using triangle sum theorem:
    #180°-87°-40°= 53°#

  2. #13/sin(53°)=x/sin(87°)#

  3. #x= (13*sin(87°))/sin(53°)= 16.3 " cm"#

Gió
Apr 10, 2018

I tried using trigonometry BUT I am not sure you know it!

Explanation:

Consider the diagram:
enter image source here
I got the missing angle considering that the sum of the internal angles must give #180^@#.
From trigonometry I got:
#h=13sin(40^@)=8.356cm#
and:
#a=13cos(40^@)=9.958cm#
also:
#h/b=tan(53^@)#
#b=h/tan(53^@)=8.356/tan(53^@)=6.296cm#
and finally:
#x=a+b=9.958+6.296=16.254~~16.3cm#

Related questions
Impact of this question
585 views around the world
You can reuse this answer
Creative Commons License