Given:
Height of the lighthouse = 280 feet
The angle of depression from the top of the lighthouse to a ship = 18°.
To find:
The distance between boat and shore.
Solution:
Draw a diagram by using the given information.
In a right angle triangle,

In triangle ABC,



Using a calculator, we get



Therefore, the boat is 862 feet away from shore.
The third number line on the picture
Input the fraction = 95/8
Integer =11
Fraction part = 7/8
Answer = 11.875
Solution
The reflection is a rigid transformation. This does not affect the length of a line segment.
Therefore, the line segments are equal.
Hence, LM = L'M'
Thank you. :)
Answer:
<em>y - 7 = 1 (x-5)</em>
Step-by-step explanation:
The point slope equation of a line is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the following
m = 1
(x0, y0) = (5, 7)
Substitute into the formula
y - 7 = 1 (x - 5)
y - 7 = x -5
y = x - 5 + 7
y = x + 2
<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>
<em></em>
<em></em>