Answer:
8 yards
Step-by-step explanation:
This can be illustrated from drawing it. (Attachment)
Scale- Real : Map
10 yard : 1 cm
150 yard : 15 cm
145 yard : 14.5 cm
Step 1: Draw a 7.5 cm line from origin to Point A
Step 2: Form a 2 degree angle from the origin
Step 3: Draw a 7.25 cm line 2 degree angle from the origin to Point B
Step 4: Measure the distance in cm from Point A to Point B
Step 5: Convert the distance from Point A to Point B in yards.
Therefore, the ball is 8 yards far from the goal.
!!
Answer:
The ball is 7.176 yards away from the center of the goal.
Step-by-step explanation:
Given distance between the center goal and Mark is AB = 150 yards
Distance traveled by ball at angle 2 degree off to the right from Mark is
AC = 145 yards
We have to find the distance BC in triangle ABC
Using cosine rule
[tex]BC^{2}=AB^{2}+AC^{2}-2AB\times AC\times \cos \Theta[/tex]
=>[tex]BC^{2}=[150^{2}+145^{2}-2\times 150\times 145\times \cos (2^{\circ})] yards^{2}[/tex]
=>BC^{2}=51.5 yards^{2}
=>[tex]BC=\sqrt{(51.5 yards^{2})}=7.176yards[/tex]
Thus the ball is 7.176 yards away from the center of the goal.
