Acute angles because they are less then 90 degrees which is a right angle.
ANSWER
The radius is 25 inches
EXPLANATION
From the diagram, the radius of the circle is AC.
From the Pythagoras Theorem,
Simplify
Take positive square root,
Hence the radius is 25 inches
Answer:
Step-by-step explanation:
Remark
The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.
The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.
Solution
Sin(8) = 1817 / x Multiply both sides by x
x*sin(8) = 1817 Divide by sin(8)
x = 1817/sin(8)
sin(8) = 0.1392
x = 1817/0.1392
x = 13055.7
Note
Watch how you do this. I would put it into your calculator as
1817
÷
sin(8)
=
If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).
