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kenny6666 [7]
3 years ago
12

In this triangle, side AT = 24. Please give the value for the sine, cosine, and tangent for this diagram (Which is the marked an

gle?). Give the value as a ratio ONLY. Make sure all ratios are in the lowest form.
Be sure to explain IN WRITING how you find sine, cosine, and tangent! If you are not sure, check the directions in this problem!

Question 1 options:

Mathematics
1 answer:
sashaice [31]3 years ago
5 0
The value  of the sine, cosine and tangent of the figure will be found as follows:
a] Sine
sin x=(opposite)/(hypotenuse)
opposite=7
hypotenuse=25
thus:
sin x=  7/25  

 b] Cosine
cos x=adjacent/hypotensue
adjacent=24
hypotenuse=25
cos x=24/25

Tangent
Tan x=opposite/adajcent
opposite=7
adjacent=24
thus
tan x=7/24

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7 0
2 years ago
10 mi<br> 6 mi<br> b<br> What is the length of the missing leg?<br> b<br> miles
poizon [28]

Answer:

The length of the missing leg:

  • b = 8 miles

Step-by-step explanation:

Given

  • c = 10 mi
  • a = 6 mi

To determine:

The length of the leg b = ?

For a right-angled triangle, with sides a and b the hypotenuse c is defined as:

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

We can find the length of the leg b using the formula

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

substituting c = 10 and b = 6 in the formula

b=\sqrt{10^2-6^2}

b=\sqrt{100-36}

b=\sqrt{64}

b=\sqrt{8^2}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a

b=8 mi

Therefore, the length of the missing leg:

  • b = 8 miles
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3 years ago
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