X
-2 (3x - 6) + 4 (5x - 8) = 92
2 answers:
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We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
Answer:
$ 32.95
Step-by-step explanation:
Cost of Stock at 2010= $ 50
Declining rate each year= 8%
We have to find cost of stock at 2015
Cost of stock after 5 years= $ 50
Value of stock after 5 years= $ 50
Value of stock after 5 years= $ 50
Value of stock after 5 years= $ 32.95
Hence, the correct answer is $ 32.95