Find f(-2) for f(x)= 5 times 3^x
1 answer:
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Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.
Answer:
The person's height must be greater than or equal to 55 inches to go on the ride
Step-by-step explanation:
Let
x -----> the height of the person
we know that
A person must be at least 55 inches tall to go on the carnival ride
The phrase " at least" means "greater than or equal to"
so
The inequality that represent this situation is
therefore
The person's height must be greater than or equal to 55 inches to go on the ride