They are complimentary so they add to 90. A1+a2=90
A1+20=a2
A1+(a1+20)=90
2*a1+20=90
2*a1=70
A1=35
A2=a1+20=55
Final answer :
Angle 1 is 35 degrees, angle 2 is 55 degrees
Hope I helped :)
Answer:
881.5 meters.
Step-by-step explanation:
The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.
The height of the cliff = x + y
Applying the appropriate trigonometry functions.
To determine the value of x;
Tan θ = ![\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Tan
= ![\frac{x}{490}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B490%7D)
⇒ x = 490 x Tan ![36^{o}](https://tex.z-dn.net/?f=36%5E%7Bo%7D)
= 490 x 0.7265
= 355.985
x = 356 meters
To determine the value of y;
Tan θ = ![\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Badjacent%7D)
Tan
= ![\frac{y}{490}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B490%7D)
⇒ y = 490 x Tan ![47^{o}](https://tex.z-dn.net/?f=47%5E%7Bo%7D)
= 490 x 1.0724
= 525.476
y = 525.5 meters
Therefore,
The height of the cliff = x + y
= 355.985 + 525.476
= 881.461
The height of the cliff is 881.5 meters.
3 ft are in 1 yard
so 3/18
=1/6
You have to average out the total amount you pay by how many movies you see. For this deal, you must spend $16 (4 movies x $4) to get a fifth movie free. So, you are essentially spending $16 for 5 movies. To figure out how much the cost is per movie, divide the total cost by number of movies seen. $16/5 movies = $3.20 per movie
If you factored this the outcome would be,
(q+3)(3p^2-4)