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evablogger [386]
3 years ago
9

A skateboarder is practicing in the city park. He is skating up and down the steepest straight-line ramp. If the highest point o

n the ramp is 30 feet above the ground and the horizontal distance from the base of the ramp to a point directly beneath the upper end is 500 feet, what is the slope of the ramp?
A)500/30
B)50/3
C)3/50
D) None of these
Mathematics
1 answer:
dalvyx [7]3 years ago
3 0
C is the answer to your problem have a good day
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Ken finished one-half of his homework
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Simplify: 5 - 8n - 4n
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On a piece of paper, use a protractor to construct right triangle ABC with AB=3 in. , m∠A=90° , and m∠B=45° .
n200080 [17]

Option A: $A C=3 \ in is true about the triangle.

Explanation:

The measurements of the right triangle ABC is A B=3 \ in , m \angle A=90^{\circ} and \mathrm{m} \angle{B}=45^{\circ}

The image of the triangle having these measurements is attached below:

Option A: $A C=3 \ in

Using Pythagorean theorem, we have,

tan \ 45^{\circ}= \frac{AC}{3}

   1\times 3= AC

         3=AC

Thus, the length of AC is $A C=3 \ in

Therefore, Option A is true about the triangle.

Hence, Option A is the correct answer.

Option B: $B C=3\ in

Using Pythagorean theorem, we have,

cos \ 45^{\circ}=\frac{3}{BC}

     BC=\frac{3}{cos \ 45^{\circ}}

     BC=\frac{3}{0.707}

     BC=4.24

Thus, the length of BC is BC=4.24 \ in

Therefore, Option B is not true about the triangle.

Hence, Option B is not the correct answer.

Option C: $B C=6\ in

Using Pythagorean theorem, we have,

cos \ 45^{\circ}=\frac{3}{BC}

     BC=\frac{3}{cos \ 45^{\circ}}

     BC=\frac{3}{0.707}

     BC=4.24

Thus, the length of BC is BC=4.24 \ in

Therefore, Option C is not true about the triangle.

Hence, Option C is not the correct answer.

Option D: $A C=6\ in

Using Pythagorean theorem, we have,

tan \ 45^{\circ}= \frac{AC}{3}

   1\times 3= AC

         3=AC

Thus, the length of AC is $A C=3 \ in

Therefore, Option D is not true about the triangle.

Hence, Option D is not the correct answer.

3 0
4 years ago
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