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denis-greek [22]
3 years ago
9

A 109 ft tree casts a shadow that is 130 ft long. what is the angle of elevation of the sun?

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
Answer: 40°


Explanation:

\tan(\theta) = \cfrac{109}{130}

\theta = 40 \textdegree


The Wise Orange wonders about the purpose of knowing the degree of elevation. 
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Angelina wins money in a competition. She is given the choice as to how she is paid.
NISA [10]

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

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<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

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<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

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  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

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The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

8 0
2 years ago
The linear model P=3.75g+1.5 predicts the total cost, P, in dollars, to purchase g gallons of gas at a gas station. Based on the
ohaa [14]

Answer:

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Step-by-step explanation:

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2 years ago
The scale of the model train is 1 inches to 14.5 feet. What is the cars of the model train is 4 inches long. What is the length,
Len [333]
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3 years ago
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Arturiano [62]

Answer:

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Step-by-step explanation:

From the diagram in the question above,

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collect like terms and solve for x

3x-2x = 40-13

x = 27°.

∠JKL = 2x+1

Substitute the value of x

∠JKL = 2(27)+1

∠JKL = 54+1

∠JKL = 55°

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