<u>Part 1)</u> Find m∠EAD
we know that
m∠EAD+m∠DAF+m∠BAF=
----> by supplementary angles
solve for m∠EAD
m∠EAD=
-(m∠DAF+m∠BAF)
in this problem we have
m∠DAF=
m∠BAF=
substitute in the formula above
m∠EAD=
therefore
<u>the answer part 1) is </u>
m∠EAD=
<u>Part 2)</u> Find m∠CAB
we know that
m∠CAB+m∠BAF=
--------> by supplementary angles
solve for m∠CAB
m∠CAB=
-m∠BAF
in this problem we have
m∠BAF=
substitute in the formula above
m∠CAB=
therefore
<u>the answer part 2) is</u>
m∠CAB=
Given parameters:
Recommend wheelchari ramp slope =
Rise of the new wheel chair ramp = 22 inches
Horizontal length = 24feet
Unknown:
Is the ramp steeper than the recommended = ?
Slope is the ratio of rise to the horizontal distance covered
Mathematically;
Slope = 
Slope of the wheel chair ramp;
covert 24 feet to inches;
1 foot = 12 inches
24 feet = 24 x `12 = 288inches
Slope =
= 
The two slopes being compared are;
and
The steeper of the first one 1/12. It has a higher slope compared to the second one.
9240ft per second
(105mi/1hr * 5280ft/1mi * 1hr/60sec)
(50 - x) is the amount of the 15% Alcohol solution to use. If you solve for x first.
<span>0.10x + 0.15(50 – x) = 0.12(50)
0.10x - 0.15x + 7.5 = 6
-0.05x + 7.5 = 6
7.5 - 6 = 0.05x
1.5 = 0.05x
1.5/0.05 = x
30 mL = x
Then the 15% solution: 50 - 30 = 20 mL
</span>
Let's calculate the value of angle A and B
sin(A) =-4/5 → sin⁻¹(- 4/5) = A → A = - 53.13
cos(B) = -5/13 → cos⁻¹ (- 5/13) = B → B = 112.62
tan (A+B) = sin(A+B)/cos(A+B) with A+B = -53.13 + 112.62 = 59.49
tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.
(Answer H = 56/33 = 1.6969)