Answer:
A. 125
Step-by-step explanation:
the sum of the remote angles is equal to the exterior angle
90+35=125
Answer:
The triangles are congruent
Step-by-step explanation:
The Triangles are congruent because they have the same side lengths and and angle measures.
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).
Substitute the value for y as 450
450=-5x+1
Solve for x
450-1=-5x
449=-5x
89.8=-x
x=-89.8