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Step2247 [10]
3 years ago
11

you sight a rock climber on a cliff at a 32° angle of elevation. your eye level is 5.5 feet above the ground and you are 1000 fe

et from the base of the cliff. what is the approximate height of the rock climber from the ground?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
6 0

Answer:

630 feets

Step-by-step explanation:

From the triangle attached :

Using trigonometry, the height h, which is the height of climber to your eye level :

Tan θ = opposite / Adjacent

Tan 32 = h / 1000

h = tan 32 * 1000

h = 0.6248693 * 1000

h = 624.86935

Height from the ground :

624.86935 + 5.5

= 630.369 feets

= 630 feet

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If the bus is on time to the school 90% of the time, how many days can the school expect the bus on time out of 160 days?
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3 years ago
Tim is investigating the relationship between the number of years since a tree was planted and the height of the tree in feet. H
wolverine [178]

Answer: There is not a good prediction for the height of the tree when it is 100 years old because the prediction given by the trend line produced by the regression calculator probably is not valid that far in the future.

Step-by-step explanation:

Years since tree was planted (x) - - - - height (y)

2 - - - - 17

3 - - - - 25

5 - - - 42

6 - - - - 47

7 - - - 54

9 - - - 69

Using a regression calculator :

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With y being the predicted variable; 7.36 being the slope and 3.08 as the intercept.

X is the independent variable which is used in calculating the value of y.

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ŷ = 7.36X + 3.08

ŷ = 7.36(100) + 3.08

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3 years ago
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