Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms on the right side.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b
Comparing like terms with - 6x² + 12x - 15
x - term → - 3a = 12 ( divide both sides by - 3 )
a = - 4
constant term → - 3b = - 15 ( divide both sides by - 3 )
b = 5
Answer:
false
Step-by-step explanation:
False
5(9)(3.2)
45*3.2=144
Hope this helps :)
Answer:
Inside the triangle - Acute Triangle
Outside the triangle - Obtuse Triangle
On the hypotenuse - Right Triangle
Step-by-step explanation:
The <u>circumcenter</u> is the point where the perpendicular bisectors of a triangle intersect.
In the special case of a right triangle, the circumcenter lies exactly at the midpoint of the hypotenuse.
The circumcenter of an acute triangle lies inside the triangle.
The circumcenter of an obtuse triangle lies outside the triangle.
Answer:
What is the question?
Step-by-step explanation:
