On a map, the coordinates (2,-1) and (4,8) pass through the coordinates (1,3) and (6,2). Are they perpendicular
1 answer:
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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
Answer:
Step-by-step explanation:
Given.
Two points are given.
and
An exponential function is in the general form.
-------(1)
We know the points and
put the first point value in equation 1
--------(2)
put the second point value in equation 1
----------(3)
Put the a value from equation 2 to equation 3
Put the b value in equation 2
Put the a and b value in equation 1
So, the exponential function that passes through the points and
are
.