Answer:
Both triangles are right triangles because the angle d is 90 degrees in both sides
3 ^ 2 - 2.25^2 = 1.98
4^2 - 1.98^2 = 3.48
x = 3.48
6a-4 = 3a+54
3a = 58
a = 58/3
a= 19.333
MP = P - M = (0, 5) - (5, 6) = (0-5, 5-6) = (-5, -1) |MP| = √((-5)^2 + (-1)^2) = √(25+1) = √26
9514 1404 393
Answer:
195 ft
Step-by-step explanation:
The relationship between the horizontal distance, angle, and vertical height is given by ...
Tan = Opposite/Adjacent
Referring to the attached diagram, we have ...
tan(16°) = BT/MB
tan(25°) = BK/MB
Solving for BT and BK, we can describe their difference as ...
BT = MB·tan(16°)
BK = MB·tan(25°)
BK -BT = 35 = MB(tan(25°) -tan(16°))
Dividing by the coefficient of MB gives ...
MB = 35/(tan(25°) -tan(16°)) = 35/0.179562
MB = 195 . . . feet
Marcos is standing 195 feet from the base of the tree.