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Harman [31]
2 years ago
5

15) a tree casts a shadow 21 ft while Enzo who is 5 ft tall casts a shadow 6 ft long. (with picture)

Mathematics
1 answer:
Darina [25.2K]2 years ago
7 0

Set up a ratio between the tree and Enzo.

5 ft / 6ft = x/21 ft.

Cross multiply:

(5 x 21) = (6 x x)

Simplify:

105 = 6x

Divide both sides by 6:

x = 105 / 6

x = 17.5 feet tall.

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Find the value of x using trig please .....
iren [92.7K]

Answer:

8.090169944 or rounded 8.1

Step-by-step explanation:

Use SOH CAH TOA

Look at x and where it is and what you have.

First thing is to get an angle to use, 36, then to set up your equation.

___(36)=___

Figure out what you have.

You have the hypotonouse, 10, and need the adjacent,x, so you use the equation that involves H for hypotonouse and A for adjacent.

You set up your equation using COS, as you are using CAH.

Cos(36)=x/10

X is over ten sure to CAH C-cos A-adjacent and H-hypotonouse

Switch it around to make it equal to x

10*Cos(36)=x

You input it into your calculator. [10] [COS] [36] [ENTER] and you get the answer.

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2 years ago
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7 0
3 years ago
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If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the secon
Talja [164]
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3 0
3 years ago
Consider the y-intercepts of the functions. f(x)= 1/5 [x-15] g(x)= (x-2)^2 The y-coordinate of the greatest y-intercept is..
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Step-by-step explanation:

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4 0
3 years ago
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How many years would it take to make $500 interest on a 12000 investment at 3% per year
padilas [110]

Answer:

t=1.4\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\\ P=\$12,000\\ I=\$500\\r=3\%=3/100=0.03

substitute in the formula above

500=12,000(0.03t)

solve for t

500=360t

t=500/360

t=1.4\ years

7 0
3 years ago
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