Answer:
the cell phone tower is 488 ft
Step-by-step explanation:
change 12 in = 1ft
4ft x ft
------------------- = ----------------
1ft shadow 122 ft shadow
using cross products
4 * 122 = 1 * x
488 = x
82 degrees and 98 degrees
First, find the original equation
180 = (x) + (x + 16)
Simplify: 180 = 2x + 16
Next, use the subtraction property of equality to subtract 16 from both sides
180 - 16 = 2x + 16 - 16
Simplify: 164 = 2x
Then, you can use the division property of equality to find the value of x
164/2 = 2x/2
Simplify: 82 = x
Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
Answer:
I agree that this question can be confusing:
Apparently point A and point B must be on the same straight line (measured from the light house or the question would be nonsensical)
tan 13 = H / DA where H is height of lighthouse
tan 8 = H / DB tangent measured from point B
tan 13 / tan 8 = DB / DA
DB = .2309 / .1405 * 1279 = 2101 ft
DB - DA = 2101 - 1279 = 822.0 ft
