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Zepler [3.9K]
3 years ago
15

The tailgate of the truck is 3 feet above the ground. The incline of a ramp used for loading the truck is 15° find the nearest t

enth of a foot, the length of the ramp

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

11.2 feet

Step-by-step explanation:

Draw a triangle to represent the problem. (See the one attached.)

The sides involved in this problem are the opposite and adjacent to the given angle, so we need to use the tangent ratio.

To find the length of the ramp, we need to find the tangent of angle 15.

tanx = opp/adj

tan15 = 3/x

Multiply by x on both sides:

x(tan15) = (3/x)x

x(tan15) = 3

Divide by tan15 on both sides:

x(tan15) = 3

/tan15      /tan15

x = 3/tan15

Divide tan15 from 3 using a calculator:

x ≈ 11.2

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Find the missing length for the right triangle described below. B = 21 ft, c=27 ft. Find side a. Round to the nearest whole numb
maksim [4K]

Answer:

16.97 ft

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Side B = 21 ft

Side c = 27 ft

As we know, formula for right triangle is as follows,

a^{2} + b^{2} = c^{2}

a^{2} = c^{2} - b^{2}

So, by putting the value in the formula, we get,

a^{2} = 27^{2} - 21^{2}

a^{2} = 729 - 441

a^{2} = 288

a = 16.97 ft

Hence, the length of the side  for the right triangle is 16.97ft.

6 0
3 years ago
Which of the equations shows an application of the Zero Property of Multiplication? A. 25+0=25 B. 13(3)= C. 0∙2=0 D. (34−2)−(34+
Montano1993 [528]

Answer:

0∙2=0

Step-by-step explanation:

Zero Property of multiplication is as follows :

The product of a number and 0 is equal to 0.

In option (c), 0 is multiplied by 2 and as a result, we get 0 as the answer.

It means,

0∙2=0

Hence, option (c) i.e. 0∙2=0 shows the Zero Property of Multiplication.

5 0
3 years ago
Mrs Tan has 40 pupils in her class. She gives each of them 3 sweets and has 2 sweets left. How many sweets does she have at firs
zlopas [31]
There answer is 120
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8 0
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Read 2 more answers
A point has the coordinates (m,0) and m unequal 0. Which reflection of the point will produce an image located at (0,-m)
melisa1 [442]

Answer:

y = -x

Step-by-step explanation:

it because the reflection change the value of x become -y

so the reflection we can use is the line y = -x

8 0
3 years ago
Solve -2.5n + 8.7 > 5.45.
AlexFokin [52]
A. n<1.3

-2.5n+8.7>5.45
subtract 8.7 from both sides
-2.5n>-3.25
divide -2.5 from both sides 
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n<1.3


5 0
3 years ago
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