Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
I know that the second one the fourth one and the fifth one are arithmetic but I’m not sure about the others I think there are only three but don’t count me on it
Answer:
Step-by-step explanation:
In calculator the answer is 1703.66666667
Let Amanda's age = x.
Gregory's age = x + 5.
Since Gregory is 17 years old.
17 = x + 5
x = 17 - 5
x = 12
Amanda is 12 years old.
Answer:
d) 17.6
Step-by-step explanation:
Use the law of Sines
SinA/a=SinB/b=SinC/c