PLEASE HELP BUT REALLY Find the value of x. Write your answer in simplest radical form, if necessary.
1 answer:
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Answer: C
Step-by-step explanation:
For this problem, we need to know the standard form of a sine function and the meaning of each part.
Standard form:
a=amplitude
b=period
h=phase shift
k=vertical replacement/shifting
Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with . We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period.
, therefore, b=1/2.
[plug in a=2]
[plug in b=1/2]
Therefore, C is the correct answer.
Answer:
The Height of the tower is 188.67 ft
Step-by-step explanation:
Given as :
The angle of elevation to tower = 15°
The distance travel closer to tower the elevation changes to 42° = 497 ft
Now, Let the of height of tower = h ft
The distance between 42° and foot of tower = x ft
So, The distance between 15° and foot of tower = ( x + 497 ) ft
So, From figure :
<u>In Δ ABC </u>
Tan 42° =
Or , Tan 42° =
Or, 0.900 =
∴ h = 0.900 x
Again :
<u>In Δ ABD </u>
Tan 15° =
Or , Tan 15° =
Or, 0.267 =
Or, h = ( x + 497 ) × 0.267
So, from above two eq :
0.900 x = ( x + 497 ) × 0.267
Or, 0.900 x - 0.267 x = 497 × 0.267
So, 0.633 x = 132.699
∴ x =
Or, x = 209.63 ft
So, The height of tower = h = 0.900 × 209.63
Or, h = 188.67 ft
Hence The Height of the tower is 188.67 ft Answer
