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2 years ago

Tamara wants to calculate the height of a tree outside her home. Using her clinometer, she measures the slope angle from 30 feet

Mathematics

1 answer:

belka [17]2 years ago

8 0

Answer:

61.922 feet

Step-by-step explanation:

For this problem, we simply want to set up a trigonometric function that computes the height of the tree, and we want to add the height of Tamara.

We are given a distance from the tree of 30 feet with an angle from her eye-level to the top at 62 degrees. So we can say the following:

y = tan(Θ) * x

Where Θ = 62 degrees, x = 30 feet, and y is the height of the tree from Tamara's eye level.

y = tan(Θ) * x

y = tan(62) * 30

y = 56.422

So we also need to include the height of Tamara to get the total height of the tree from the ground to the top.

56.422 ft + 5.5 ft = 61.922 ft

Hence, the total height of the tree is 61.922 feet.

Cheers.

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Describe 83 in two other ways

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Answer:

83 is a prime number. 83 is also an uneven number.

Step-by-step explanation:

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2 years ago

28. $400 is divided between Kas, Jaspar and Jae so that Kas has twice

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Let's define our variables before anything else:

Kas = S

Jaspar = R

Jae = E

$400 is divided between Kas, Jaspar and Jae

This means S + R + E = 400

Kas has twice as much as Jaspar

This means that S = 2R

Jaspar has three times as much as Jae

This means that R = 3E

Because both of our smaller formulas have R, let's replace everything in the first formula with R

S + R + E = 400

plug in values

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multiply everything by 3 to get rid of the denominator

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add

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2 years ago

Bogle Company purchased machinery for $320,000 on January 1, 2014. Straight-line depreciation has been recorded based on a $20,0

horrorfan [7]

Answer:

$66,000

Step-by-step explanation:

Data provided in the question:

Purchasing cost of the machine = $320,000

Salvage value = $20,000

Useful life of the machine = 5 years

The gain on selling of the machine = $6,000

Now,

The annual depreciation of the machine

= [Cost - salvage value] ÷ ( Useful life )

= [ $320,000 - $20,000 ] ÷ 5

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Accumulated depreciation from January 1, 2014 to May 1, 2018

= Annual depreciation × (Duration from January 1, 2014 to May 1, 2018 )

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[48 months + 4 months = 52 months]

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= $320,000 - $260,000

= $60,000

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2 years ago

Mrs. Kermit has 29 markers. She gives 12 markers to Mr. Cooke and divides the rest among 5 other teachers. If each of the teache

romanna [79]

Answer: 2 markers.

Step-by-step explanation:

1. You know that she gives 12 markers to Mr. Cooke, then the rest among is:

29 markers-12 markers=17 markers

2. She divides the rest among 5 other teachers and each one of them get the same number of markers. So, you need to divide 17 markers by 5 teachers as following:

17 markers/5=3.4 markers

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3. The number of markers that will be left over is:

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2 years ago

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Answer:

1. Option a

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