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Paraphin [41]
3 years ago
15

Need help with Trig fast

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Given:

A figure of a right angle triangle.

To find:

The value of Tan R.

Solution:

Trigonometric Ratio: In a right angle triangle,

\tan \theta =\dfrac{Perpendicular}{Base}

Using the above trigonometric ratio in the given triangle, we get

Tan R =\dfrac{AD}{AR}

Tan R =\dfrac{13}{17}

Therefore, the correct option is C.

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Read 2 more answers
A boat goes 32 miles downstream in two hours. The return trip againts the current takes sixteen hours. Find the rate of the boat
zepelin [54]

Answer: the rate of the boat in calm water is 9 mph and the rate of the current is 7 mph

Step-by-step explanation:

Let x represent the rate of the boat in calm water.

Let y represent the rate of the current.

A boat goes 32 miles downstream in two hours. Assuming that it travelled in the direction of the current, its total speed would be

x + y mph

Distance = speed × time

Distance covered downstream is

32 = 2(x + y)

16 = x + y - - - - - - - - - - - -1

The return trip against the current takes sixteen hours.

Its total speed would be x - y mph

Distance = speed × time

Distance covered on return trip is

32 = 16(x - y)

2 = x - y - - - - - - - - - - - -2

Adding equation 1 and equation 2, it becomes

18 = 2x

x = 18/2 = 9 mph

Substituting x = 9 into equation 1, it becomes

16 = 9 + y

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3 0
3 years ago
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