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lisabon 2012 [21]
4 years ago
11

Find sin q if q is an angle in standard position and the point with coordinates (4, 3) lies on the terminal side of the angle.

Mathematics
2 answers:
White raven [17]4 years ago
8 0
Terminal side of the position is (5,3)
zloy xaker [14]4 years ago
7 0
First we imagine triangle. Triangle vertices are: xy coordinate center, point (4,3) and projection of that point on x axis (x = 4). Because angle is in standard position, just from knowing (4,3) coordinates we know 2 of triangle sides and we can find its hypotenuse which will be marked as "h":

h= \sqrt{ 3^{2} + 4^{2} } =5

Now the sinq is:

sinq = 3/5   because of definition of sin.

sin = opposite side of triangle/hypotenuse.

answer is 3/5
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The diagram below shows several parking spots near the grocery store, formed with three parallel line segments and a transversal
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So, angle 4 + angle 3= 180 degrees.

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8 0
4 years ago
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A 4​-ft vertical post casts a 12​-in shadow at the same time a nearby cell phone tower casts a 118​-ft shadow. How tall is the c
stiv31 [10]

Answer:

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3 years ago
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suter [353]
Let's rewrite the equation with x and y on the left side of the equal sign.  
5x-4y=8 --------(1) 
3x-3y=3---------(2)  
Divide equation (2) by 3, 
x - y= 1 
now we have, 
5x-4y = 8 --------(1) 
x - y = 1 ---------(2)  
To eliminate x, multiply equation (2) by 5. This makes both the coefficients of x to be 5. Subtract the second equation from the first equation.  
5x - 4y = 8 
(2) * 5 5x - 5y = 5 
(-) (+) (-) 
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 Therefore, y=3 
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 x-3=1
 x=4 
 x=4 and y=3
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4 years ago
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