A hiker standing at point G wants to estimate the distance across the lake to point H, which is directly north of her location.
She walks 650 feet west to point F. She measures the angle from point F to point H to be 84º north of east. Find the distance across the lake to the nearest tenth of a foot. a. 68.3 feet b. 646.4 feet c. 655.4 feet d. 6,184.4 feet
1 answer:
Answer:
D
Step-by-step explanation:
The diagram is attached.
Looking at the diagram, we want the side "opposite" of the angle given and the side "adjacent" is given.
Which ratio relates opposite and adjacent? It is Tan.
We can use trigonometry and tan ratio to solve for the distance "x":
D is the correct answer.
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Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is .
Step-by-step explanation:
The exponential formula is
Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.
The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.
Here the initial year is 2017 and rate is 0.0278
Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.
Difference between 2025 and 2017 is 8 years. Put t=8
Therefore the projected population in 2025 is 476479.
