A road is inclined at an angle of 5°. After
1 answer:
Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet
You might be interested in
Answer:
Step-by-step explanation:
The slope intercept form of a line is given as:
y = mx + c
Where m is the slope and c is the y-intercept
Let's rearrange the equation given in this form:
2x - 5y = -11
5y = 2x + 11
y = 2/5 x + 11/5
So the slope is 2/5
Slope of line that is perpendicular to this is the "negative reciprocal" of this slope. Which means the slope of perpendicular line would be -5/2
Thus, equation would become: y = -5/2x + c
Now we need to find c. For this we plug in 7 into x and 5 into y and solve for c [(7,5) is the point given]. Thus,
Thus, the equation of perpendicular line is: