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anonymous

  • one year ago

The figure below shows a right triangle What is r ÷ p equal to? tan y° sin y° tan x° sin x°

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  1. anonymous
    • one year ago
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  2. mathstudent55
    • one year ago
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    Do you know SOHCAHTOA, the side length ratios of sine, cosine, and tangent?

  3. princeharryyy
    • one year ago
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    |dw:1434743378557:dw|

  4. anonymous
    • one year ago
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    no im not to familiar with it

  5. anonymous
    • one year ago
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    @welshfella can u help me please??

  6. mathstudent55
    • one year ago
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    The sine, cosine, and tangent ratios of a right triangle are as follows: \(\sin A = \dfrac{opp}{hyp} \) \(\cos A = \dfrac{adj}{hyp} \) \(\tan A = \dfrac{opp}{adj} \)

  7. mathstudent55
    • one year ago
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    Let's see how the sine ratio applies to a right triangle.

  8. mathstudent55
    • one year ago
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    |dw:1434743707356:dw|

  9. mathstudent55
    • one year ago
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    Look at the figure above. For angle A, leg AC is called the adjacent leg. For angle A, leg BC is the opposite leg. The hypotenuse is side AB.

  10. mathstudent55
    • one year ago
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    According to the definition of sine, \(\sin A = \dfrac{opp}{hyp} \) the sine of angle A is the ratio of the lengths of the opposite leg to the hypotenuse. That means that for the figure above, \(\sin A = \dfrac{BC}{AB} \)

  11. mathstudent55
    • one year ago
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    Do you understand how the sine function works?

  12. anonymous
    • one year ago
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    yes i do thank you (:

  13. mathstudent55
    • one year ago
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    Now let's look at your problem. We are asked what the ratio r/p is equal to.

  14. mathstudent55
    • one year ago
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    r and p are legs of the triangle. The only ratio (of sin, cos, and tan) that deals only with the lengths of legs (and not the hypotenuse) ids the tangent ratio. \(\tan A = \dfrac{opp}{adj} \) The tangent ratio is the ratio of the lengths of the opposite leg to the adjacent leg.

  15. mathstudent55
    • one year ago
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    The ratio r/p must be a tangent because it involves only lengths of legs. Since the ratio r/p must be a tangent, it must be equal to \(\dfrac{opp}{adj} \) Now we look in the figure, and we see which angle is opposite leg r? It is angle y. Also, we look in the figure and we see that leg p is the adjacent leg top angle y. The means we must have the tangent of angle y.

  16. anonymous
    • one year ago
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    oh ok i understand now thank you so much, (: btw @mathstudent55 the answer to the question would be (A) right? (:

  17. mathstudent55
    • one year ago
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    yes

  18. mathstudent55
    • one year ago
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    You're welcome.

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