Answer:
52feet
Step-by-step explanation:
The set up will be a right angle
Let the angle of depression be 30°
The height above the sea level will be the opposite
The distance of the ship from the base is x (adjacent)
Using TOA
Tan theta = opposite/adjacent
Tan 30 = 30/x
x = 30/tan 30
x = 30/0.5774
x = 51.96
x ≈ 52 feet to the nearest foot
Answer:
The amount needed to pay off the loan after 4 years is $70,192
Step-by-step explanation:
When interest is compounded annually, total amount A after t years is given by:

where P is the initial amount (principal), r is the rate and t is time in years.
From the question:
P = $60,000
r = 4% = 0.04
t = 4

The amount needed to pay off the loan after 4 years is $70,192
If we divide the amount by four, we will get the amount that is paid yearly (70192/4 = 17548). $17,548 is paid yearly.
First use Pythagoras theorem to find the remaining length of the base.
Then multiply the base with the altitude and divide that by 2 and you'll get the area
7v-v=12 subtract v from 7v to get 6v
6v=12 divide 12 by 6 to find variable
v=2
Angles in straight line add to 180 degrees
180-142=38
180-133=47
180-38-47=95
180-95=85 degrees
B