Answer:
x=120 is the answer it is hard to described without name
The boat's travel from when it was first noticed until it stopped is 554.89 ft.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly.
From the given information we can draw a right-angle triangle.
14°52' = 14 + 0.86 = 14.86 degree
45°10' = 45 + 0.16 = 45.16 degree
In the right-angle triangle ACD
tan14.86 = 200/AC
AC = 753.772 ft
In the right-angle triangle DBC:
tan45.16 = 200/CB
CB = 198.886 ft
AB = AC - CB
AB = 753.772 ft - 198.886 ft
AB = 554.886 ≈ 554.89 ft
Thus, the boat's travel from when it was first noticed until it stopped is 554.89 ft.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ1
Answer:
The value of b is -42
Step-by-step explanation:
Parallel equations have identical or equal slopes. Given the form of the equation; y=5x+b and the point it passes through (8,-2) we determine the unknown value b by substituting x with 8 and y with -2. We solve the equation; -2 =5(8)+b to obtain b = -42
Change 2/4 to 1/2
<span><span>2x+<span>1/2</span>=189.5</span></span>
Subtract <span>1/2</span> from both sides(1/2 = .5)
2x=189
Divide both sides by <span>2</span>
2x/2 = x
189/2= 94.5
x=94.5