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)
Answer:
If you use the 3x to the 2y is will make more sense if u turn them into numbers instead of letters cause letters dont make much sense somtimes.
Step-by-step explanation:
Answer:
Step-by-step explanation:
11) Profit = Selling price - purchase price - other expenses

12) Profit = Selling price - purchase price - other expenses
(after rounding off)
13) Annual interest on bond
=INterest rate on face value of bond for 1 year

14)Cost of bond
= quoted value (rate)
=3500(80.5)
=2817.50
15) Cost of bond
= quoted value (rate)
=4250(83.5)
=3548.75
R S + 14(S) R=6 S=1/4
(6)(1/4) + 14(1/4)
1.5 + 14(1/4)
1.5 + 3.5
5