(4x-5)+(2x-3)
4x+2x= 6x
-5+-3= -8
6x-8
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
Answer:
is at a distance of 722 feet
Step-by-step explanation:
we have the angle that forms between the water and the imaginary line between the ship and the tip of the statue
we have the statue height that would be the opposite leg to our angle and we want to know the distance of the ship to the statue that would be the adjacent leg
we see that it has (angle, adjacent, opposite)
well to start we have to know the relationship between angles, legas and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
it's the tangent
tan α = o/a
we replace the values and solve
tan α = o/a
tan 22.9 = 305/a
a = 305/tan22.9
a = 305/0.4224
a = 722
is at a distance of 722 feet
2.56 times 0.03 is 0.0768 then round to hundredth is 0.08 i think
