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Levart [38]
10 months 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]10 months 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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Answer:

30

Step-by-step explanation:

We require to calculate the volume of 1 brick

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5 0
3 years ago
Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
iren2701 [21]
Tn = a + (n-1)d

when n  = 12, tn  = 63

63 = a + (12-1)*5

a = 63 - 55 =8

tn or an 
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Hope this helps
4 0
3 years ago
Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.
Ierofanga [76]

Answer:

A:  W = 8x

B:  12y + 320

C:  44

Step-by-step explanation:

A:  Lana can make $8 an hour.

W = 8x

B:  She makes $12 per hour for every hour of overtime.  This means that she already worked 40 hours with regular pay.  She has already made $320.

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S = 12y + 320

C:  Plug in the amount Lana earned into the second equation.  The second equation will account for pay from both regular and overtime hours.

S = 12y + 320

368 = 12y + 320

368 - 320 = (12y + 320) - 320

48 = 12y

48/12 = (12y)/12

4 = y

y = 4

Lana worked 4 hours of overtime and 40 hours of regular hours.  In total, she worked 44 hours.

4 + 40 = 44

4 0
3 years ago
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Answer:

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3 years ago
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atroni [7]

Answer:

Domain (-∞,∞)

Range (0, ∞)

Step-by-step explanation:

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