The location of point Y is the point -3 on the number line
Here, we want to find the location of Y
let us say the point 0 represents the origin
The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)
To find the location of Y , we proceed to use the midpoint formula as follows;
Thus, we have;
(-9 + 3)/2 , (0 + 0)/2
= -6/2 , 0
= (-3 , 0)
Answer:
The distance between B and lighthouse is 3.8688 km
Step-by-step explanation:
Given:
The angle made from ship to lighthouse is 36.5 degrees
and that of point B is 73 degrees.
To Find:
Distance Between Point B and Lighthouse
Solution:
<em>Consider a triangle LAB(Refer the attachment )</em>
And Point C is on the line AB as A i.e. ship is sailing to B
So C is at 5 km from A.
Now In triangle LAC,
Using Trigonometry Functions as ,
tan(36.5)=LC/AC
LC=tan(36.5)*AC
=0.7399*5
=3.6998 km
Now In triangle LBC,
As,
Sin(73)=LC/LB
LB=LC/(Sin(73))
=3.6998/0.9563
=3.8688 km
LB=3.8688 km
