18a +6 - 30 = 6a-4
12a -30 =-10
12a=20
a= 5/3
Given:
Height of the lighthouse = 280 feet
The angle of depression from the top of the lighthouse to a ship = 18°.
To find:
The distance between boat and shore.
Solution:
Draw a diagram by using the given information.
In a right angle triangle,

In triangle ABC,



Using a calculator, we get



Therefore, the boat is 862 feet away from shore.
M a t h w a y to find the answer
Answer:
y= 6
Step-by-step explanation:
1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2
2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12
-14 -14
3. Subtract 3y from both sides: y=3y-12-> y-3y= -12
-3y -3y
4. Combine like terms: y-3y= -12-> -2y= -12
1-3 keep the y
5. Divide both sides by -2: -2y= -12-> y= 6
/2 /2
6. So, you're left with y= 6
Triangle ABC is similar to triangle APQ. They have corresponding line segments. Line segment PQ corresponds to BC.