Use the definition of tangent
or inv tangent (arctan or atan)
tan(theta) = opposite side/ adjacent side
the vertical rise would be the opposite side, the horozontal distance would be the adjacent side
let rise = y
let distance= x
x=2y
so tan(theta) = y/2y
tan(theta) = 1/2
theta = atan(1/2)
grab a handy dandy calculator, unless you know this conversion off the top of your head
Answer:
let cp be x
mp= x+ (20% 0f x)= 1.2x
sp = mp -d%of mp= 1.2- 15% *1.2 =1.02x
profit = 40
sp-cp =40
1.02x-x=40
x=2000
cp =2000
mp= 1.2*2000=2400
Step-by-step explanation:
For this case we have the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Clearing the time we have:
t = d / v
Substituting values:
t = 1505/420
t = 3,583 hours
Answer:
Flight time hours:
t = 3,583 hours
Answer:
a). ∠D = 56°
b). AD = √13
Step-by-step explanation:
(a) From the figure attached, ABCD is a trapezoid with parallel sides AB and CD. We have to find the measure of ∠D from the given figure.
From triangle ADE,


D = 
D = 56.31
D ≈ 56°
Therefore, measure of ∠D is 56°.
(b). Now by applying Pythagoras theorem in ΔADE,
AD² = AE² + DE²
= 3² + 2²
AD² = 9 + 4
AD = √13
Length of AD is √13 in.