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Levart [38]
1 year ago
7

Tim looks up at the top of a tree at an angle of elevation of 40 degrees. If heis 5 ft tall and 10 ft from the tree, how tall is

the tree?
Mathematics
1 answer:
dolphi86 [110]1 year ago
3 0
<h2>Answer:</h2>

13.391 ft

<h2>Explanations:</h2>

The schematic diagram of the given question is shown below;

The height of the tree is expressed as:

H = h +5

Determine the value of h using the SOH CAH TOA identity

\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan40^0=\frac{h}{10} \\ h=10tan40 \\ h=10(0.8391) \\ h=8.391ft \\  \end{gathered}

Determine the height of the tree

\begin{gathered} H=h+5 \\ H=8.391+5 \\ H=13.391ft \end{gathered}

Hence the height of the tree is 13.391ft

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Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded mont
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Answer:

1)state bank

2)$16.21

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Whitney deposits $9,000 for two years. She compares two different banks. State Banks will pay her 4.1% interest, compounded monthly. Kings Savings will pay her 4.01% interest, compounded continuously.Which bank pays higher interest? How much higher?

The Amount in the formula for compound interest is

A= P(1+r)^2

P = principal amount,

r = rate per periods,

t = number of periods,

To know the interest she got from the State bank, we say

P = $ 9000, r = 4.1% = 0.041, t = 2 years,

A= 9000(1+0.041)^2

A= 9000(1.041)^2

= 9767.74

Then interest earned = A - P

= 9767.74 - 9000

= $ 767.74

To know the interest she got from the State bank, we say

P = $ 9000, r = 4.01% = 0.0401, t = 2 years,

A= 9000(1+0.0401)^2

A= 9000(1.0401)^2

= 9751.53

Then interest earned = A - P

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= $ 751.53

The difference between the two interest is ($ 767.74 - $ 751.53)

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The histogram below shows the number of weeks Jimmy spent different amounts of money to fill the gas tank in his car. If the gra
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Una persona asegura que su casa tiene forma rectangular y que el perímetro de la misma es de 18 m y que además, su área es de 21
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Considerando las fórmulas para el perímetro y el área de un rectángulo, hay que se chega en una <u>eccuación cuadrática sin solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

<h3>¿Cuál es la fórmula para el perímetro y el área de un rectángulo?</h3>

Considerando que las dimensiones son l y w, hay que:

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El <u>perímetro es de 18 m</u>, o sea:

2(l + w) = 18

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El <u>área es de 21 m²</u>, o sea:

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El discriminante es dado por:

D = 9² - 4 x 1 x 21 = -3.

El discriminante negativo implica que la <u>eccuación cuadrática no tiene solución</u>, o sea, las medidas no son posibles y la persona estaba mintiendo.

Puede-se aprender más a cerca de el perímetro y el área de un rectángulo en brainly.com/question/26475963

#SPJ1

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