Two men, 400 feet apart, observe a balloon between them; it is in the same vertical plane as they are. The respective angles of
elevation of the balloon are observed by the men to be 75°20' and 49°30'. Find x rounded to the nearest whole number.
2 answers:
Because x is not defined, it is assumed to be the height of the balloon.
Note that
75° 20' = 75.333°
49° 30' = 49.5°
From the figure shown below, obtain by definition,
a = x cot 49.5° = 0.8541x
b = x cot 75.333° = 0.2617x
Because a + b = 400 ft, therefore
0.8541x + 0.2617x = 400
1.1158x = 400
x = 358.49 ft
Answer: 358 ft (nearest whole number)
Note that
75° 20' = 75.333°
49° 30' = 49.5°
From the figure shown below, obtain by definition,
a = x cot 49.5° = 0.8541x
b = x cot 75.333° = 0.2617x
Because a + b = 400 ft, therefore
0.8541x + 0.2617x = 400
1.1158x = 400
x = 358.49 ft
Answer: 358 ft (nearest whole number)
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Answer:
410.32
Step-by-step explanation:
Given that the initial quantity, Q= 6200
Decay rate, r = 5.5% per month
So, the value of quantity after 1 month,
The value of quantity after 2 months,
From equation (i)
The value of quantity after 3 months,
From equation (ii)
Similarly, the value of quantity after n months,
As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,
Putting Q=6200 and r=5.5%=0.055, we have
Hence, the value of quantity after 4 years is 410.32.