Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Answer:
the answer is (2,-3)
Step-by-step,-explanation:
Answer:
Approximately 10.2 inches
Step-by-step explanation:
The area of a square is given by the formula:
Where A is the area and s is the side length.
Since we already know that the area A is 105, substitute:
Now, take the square root of both sides:
Use a calculator:
So, the side length is approximately 10.2 inches.
Vertically opposite angles formed by two lines intersecting each other are equal.
<h3>What is a transversal?</h3>
A transversal is a line that intersects two or more two lines at two or more two distinct points.
We know when two straight lines intersect each other their vertically opposite angles are of equal measure.
Given, m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°.
Therefore we can equate these two expressions.
m∠1 + m∠2 = m∠2 + m∠3.
Or,
m∠1 + m∠2 - m∠2 = m∠3.
∴ m∠1 = m∠3.
learn more about the transversal lines here :
brainly.com/question/17432060
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