Answer:
Angle 1 = 46°
Angle 2 = 44°
Step-by-step explanation:
Given:
Angle 1 = (4x - 2)°
Angle 2 = (3x + 8)°
Angle 3 = 90°
Find:
All acute angle
Computation:
Using angle sum property
Angle 1 + Angle 1 + Angle 1 = 180°
(4x - 2)° + (3x + 8)° + 90° = 180°
7x + 6 = 90
7x = 84
x = 12°
So,
Angle 1 = (4x - 2)° = 4(12) - 2 = 46°
Angle 2 = (3x + 8)° = 3(12) + 8 = 44°
Given both the distance from the tree and the height of the tree, the angle of elevation can be obtained using the tangent formula, tangent theta = opposite side / adjacent side. In this case, opposite side = the tree's height and the adjacent side is the distance of Cisco to the tree. Therefore, the angle of elevation equals 40.03 degrees.
Answer:
b.
m<1 = 80 degrees because of the alternate angles rule.
m<2 = 100 degrees because angles on a straight line equals 180 degrees.
c.
m<1=75 degrees because again of the alternate angle rule.
m<2= 60 because that angle is equal to diagonally upper angle (I'll call it Z) and that angle would equal 60 because 180-120=60
Step-by-step explanation:
You really didn't need to do such complex math. If you want me to explain it more in detail, please let me know.