The point of observation is 2500 m away from the foot of the building.
The angle of elevation is 4°.
We need to find the height 'h' of the building.
With respect to 4°,
2500 is the adjacent side.
'h' is the opposite side.
The trigonometric ratio associating opposite & adjacent is tan.
We have
Cross multiplying we get
h = 2500 tan4°
h= 174.82 m
Option B) is the right answer.
F(x) = x/4
so
f(-8) = -8/4 = -2
answer
f(-8) = -2
Answer:
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Answer:
Ishaan is 49 years old.
Step-by-step explanation:
Let the present age of Christopher be 'C'.
Let the present age of Ishaan be 'I'.
From the given data, we can form equations which will help us solve the problem.
Christopher is 20 years younger than Ishaan. This means:
C = I - 20 . . . (1)
Fourteen years ago, Ishaan would have been (I -14) years old and Christopher (C - 14) years old.
From the data, I - 14 = 3(C - 14) . . . (2)
Substituting the value of C in Equation 2, we get:
I - 14 = 3(I - 20 - 14)
⇒ I - 14 = 3(I - 34)
⇒ I - 14 = 3I - 112
⇒ 2I = 112 + 14 = 98
⇒ I = 49
So, Ishaan is 49 years old.
Answer:
f(x) = -5x - 4
Step-by-step explanation:
We want to get the inverse of the following function:
f^-1(x) = (-1/5)x - 4/5
To do that, we have to replace x with f(x) and f^-1(x) with x, as follows:
x = (-1/5)f(x) - 4/5
And then solve for f(x), the inverse of f^-1(x).
x + 4/5 = (-1/5)f(x)
f(x) = -5x + (-5)4/5
f(x) = -5x - 4
To check our result we compute a pair (x, f(x))
x f(x)
1 -5*1 - 4 = -9
which has to be equivalent to (-9, 1) in the original function
x f^-1(x)
-9 (-1/5)*(-9) - 4/5 = 1
