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fredd [130]
3 years ago
15

A ramp leading into a building makes a 15 degree angle with the ground. The end of the ramp is 10 feet from the base of the buil

ding. Approximately how long is the ramp? Round to the nearest tenth.

Mathematics
2 answers:
Soloha48 [4]3 years ago
8 0

Answer:

10.4 feet.

Step-by-step explanation:

Let l be the length of the ramp which is leaning against the building,

Given,

The ramp makes a 15 degree angle with the ground.

Also, the distance of one end of ramp from the base of the building = 10 feet,

A building is generally supposed to perpendicular the ground,

Hence, By making the diagram,

We get,

cos 15^{\circ}=\frac{10}{l}   ( Trigonometric ratio ),

\implies l = \frac{10}{cos 15^{\circ}}=10.3527618041\approx 10.4

Therefore, the ramp is approximately 10.4 feet long.

zavuch27 [327]3 years ago
6 0
Trigonometry- use cos ( adjacent/hypotenuse)

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Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

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