The correct answer should be :
Option 3 : 
Hope this helps,
Davinia.
Answer: option A. 30 °.
Explanation:
1) Draw this triangle: Eyes - Ship A - height of the cliff:
The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.
2) opossite leg = horizontal distance to the ship A = x
3) adjacent leg = height of the cliff = 1500 feet
4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3
5) Draw the triangle of the eyes - ship B - hieght of the cliff
6) The unknown is the depression angle of the eyes with ship B, α
7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet
8) adjacent leg = height of the cliff = 1500 feet
9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3
10) α = arctan(√3) = 60°
11) Depression angle = 90° - 60° = 30° Which is the answer
Answer:
-2x-6 I think
Step-by-step explanation:
I think that it is -2x-6 because I did -2 and x is -2x and -2 times -3 is 6.
The 3 inside angles of a triangle equal 180.
Add the 3 angles together to equal 180:
X + (5x-20) + 4x = 180
Simplify the left side by adding like terms:
10x-20 = 180
Add 20 to each side:
10x = 200
Divide both sides by 10:
x = 20
Angle A = x = 20
Angle B = 4X = 4(20) = 80
Angle C = 5x-20 = 5(20) -20 = 100-20 = 80
