191k views
24 votes
100 POINTS PLEASE I NEED ANSWER ASAP pleaseee help me FIND X METRES FIND X FIND X FIND X

100 POINTS PLEASE I NEED ANSWER ASAP pleaseee help me FIND X METRES FIND X FIND X-example-1

2 Answers

11 votes

Answer:

843

Explanation:

the person above me did it better but i'm just gonna make it simpler for you guys :)

User Bgiles
by
8.2k points
13 votes

Answer:

843 m (nearest metre)

Explanation:

As the triangle is not a right triangle, we need to use the cosine rule to find the length of x.

Cosine rule


c^2=a^2+b^2-2ab \cos C

where:

  • C is the angle
  • c is the side opposite the angle
  • a and b are the sides adjacent to the angle

From inspection of the diagram:

  • C = 83°
  • c = x
  • a = 760
  • b = 470

Substitute these values into the formula and solve for x:


\implies c^2=a^2+b^2-2ab \cos C


\implies x^2=760^2+470^2-2(760)(470) \cos 82^(\circ)


\implies x^2=798500-714400 \cos 83^(\circ)


\implies x=\sqrt{798500-714400 \cos 83^(\circ)}


\implies x=843.4669769...


\implies x=843 \sf \:m\:\:(nearest\:metre)

User Zeliax
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories