Mathematics: Johnny and a robot standing 5 melo (units of length) apart (in a flat area) on the planet Rote. They spot a flying object hovering in the sky at the same time. If the angle of elevation from Johnny to the flying object is 29°, and the angle of elevation from the robot to the flying object is 42°, find the distance from the flying object to the ground. For this problem, assume that the heights of Johnny and the robot are neligible. [8 marks]

If is the inverse of , thenwhich meansSolve for :...

Johnny and a robot standing 5 melo (units of length)

zel990252

31.01.2022

distance from the flying object to

the ground

= 7.2 melo(unit of measurement)

Step-by-step explanation:

The distance between the robot and Jo is 5 melo( unit Of measurement)

Let the distance between the flying object and the ground= y

Let's the remaining length of the closest between robot and Jonny and the ground be x.

Y/(x+5)= tan 29.... equation 1

Y/x= tan 42.... equation 2

Equating the value of y

Tan 29(x+5) = tan42(x)

Tan29/tan 42 = x/(x+5)

0.61562(x+5)= x

3.0781= x- 0.61562x

3.0781= 0.38438x

3.0781/0.38438= x

8.008= x

8= x

Y/x= tan 42

Y/8= 0.9004

Y= 7.203

Y= 7.2 melo (unit of measurement )

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jadepotts3965

30.03.2022

If $f^{-1}(x)$ is the inverse of f(x) , then

$f\left(f^{-1}(x)\right) = x$

which means

$2f^{-1}(x)+3 = x$

Solve for $f^{-1}(x)$ :

$2f^{-1}(x) + 3 = x \\\\ 2f^{-1}(x) = x - 3 \\\\ f^{-1}(x) = \dfrac{x-3}2 = \boxed{\dfrac12x-\dfrac32}$

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