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sweet-ann [11.9K]
3 years ago
11

The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point

on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

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A roller skating rink charges a skate rental fee and an hourly rate to skate.
masya89 [10]

Answer:

The initial value, b = $3.50 is the skate rental fee

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Step-by-step explanation:

From the question we have;

The charges of the roller skating rink = A skate rental fee + An hourly rate

The total cost to skate for 2 hours = $9.50

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The relationship between the total cost of skating and the duration in hours = Linear relationship

Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;

The form of the equation is y = m·x + b

Where;

m = The rate of change of the linear relationship

b = The initial value (y-intercept)

When x = 2, y = 9.50

Therefore, we can write;

9.50 = 2·m + b...(1)

When x = 5, y = 18.50

Therefore, we can write;

18.50 = 5·m + b...(2)

Subtracting equation (1) from equation (2) gives;

18.50 - 9.50 = 5·m - 2·m + b - b = 3·m

9.0 = 3 × m

∴ m = 9.0/3 = 3.0

The rate of change, m = 3.0

Similarly, we have;

From equation (1), we get;

9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b

9.50 = 6.0 + b

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The initial value = 3.50

Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.

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3 years ago
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Answer:

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Step-by-step explanation:

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