Answer:

Step-by-step explanation:
The hypotenuse is 




The terminal side of
is in the second quadrant.
In this quadrant; the secant ratio is negative.



9514 1404 393
Answer:
4·10 +4·5 = 6·12 -6·2
Step-by-step explanation:
Each outside factor multiplies each inside term.
4(10 +5) = 6(12 -2)
4·10 +4·5 = 6·12 -6·2
To solve for a variable, you need to get it (x) by itself.
x² - 14 + 31 = 63 Add 31 to -14
x² + 17 = 63 Subtract 17 from both sides of the equation
x² = 46 Square root both sides
x =

Check your work by plugging in

for x and then

.

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63

² - 14 + 31 = 63 Square

46 - 14 + 31 = 63 Subtract 14 from 46
32 + 31 = 63 Add
63 = 63
So,
x is
and 
.
Answer:
x = 437.3 ft
Step-by-step explanation:
Angle of elevation = angle of depression = 29°
Reference angle = 29°
Adjacent side = x
Hypotenuse = 500
Applying trigonometric ratio, we have:
Cos 29 = x/500
Multiply both sides by 500
500*cos 29 = x
437.309854 = x
x = 437.3 ft (nearest tenth)