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Elena-2011 [213]
3 years ago
12

A 60-yard long drawbridge has one end at ground level. The other end is initially at an incline of 5°. During one stage of the d

rawbridge's motion, the raised end is 11 yards above the ground. What is the incline of the drawbridge to the nearest hundredth
Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0
The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.

If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)

sin(x) = 11/60  Solve the equation for x

x = 10.56
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What is the slope-intercept form of them equation of a line that passes through (5, -4) and has a slope of 3/4?
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3 years ago
Find mystery number
In-s [12.5K]

The number is less than 190,000 and greater than 180,000

5,000 more than the number has 187 thousands

2000 less than the number has 4 hundreds


180, 000 <n> 190, 000

180,000 + 2000 = n = 5000-187, 000

182,000 = n = 182, 000  

Or,  

 180, 000 <n> 190,000                    

 n + 5000= 187, 000                           n – 2000 = 180, 000

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5 0
3 years ago
For an angle θ with the point (−5, −12) on its terminating side, what is the value of cosine?
viva [34]

Answer:

option C. -\frac{5}{13}

Step-by-step explanation:

we have  that

The point (-5,-12) belong to the III quadrant

so

The value of the cosine is negative

Applying the Pythagoras Theorem

Find the value of the hypotenuse

h^{2}=5^{2}+12^{2}\\ h^{2} =25+144\\ h^{2}=169\\h=13\ units

The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse

cos(\theta)=-\frac{5}{13}

8 0
3 years ago
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