Answer:
-5y
Step-by-step explanation:
Answer:
a. 129 meters
Step-by-step explanation:
The given parameters of the tree and the point <em>B</em> are;
The horizontal distance between the tree and point <em>B</em>, x = 125 meters
The angle of depression from the top of the tree to the point <em>B</em>, θ = 46°
Let <em>h</em> represent the height of the tree
The horizontal line at the top of the tree that forms the angle of depression with the line of sight from the top of the tree to the point <em>B</em> is parallel to the horizontal distance from the point <em>B</em> to the tree, therefore;
The angle of depression = The angle of elevation = 46°
By trigonometry, we have;
tan(θ) = h/x
∴ h = x × tan(θ)
Plugging in the values of the variables gives;
h = 125 × tan(46°) ≈ 129.44
The height of the tree, h ≈ 129 meters
Answer:
x = 2√5 and x = - 2√5
Step-by-step explanation:
x^2 = 20
x = 2√5 and x = - 2√5
Answer:
A= (3,1) ; B=(-2,-1) ; C=(-4,1) ; D=(-4,0)
Step-by-step explanation:
Plotted points are expressed by (x,y) , where the x is equal to the value that you read on the x plot and y is equal to the value that you read on the y plot.
To answer this problem, let us first discuss what is a similar triangle:
Similar triangle is defined as having two or more triangles that have<span> all corresponding angles that are equal and all corresponding sides that are proportionate. It does not matter what direction the triangles are facing. Their size does not matter as long as each side is proportionate.
In figure shown, it is observed that the the corresponding angles are equal and sides are proportionate. Thus,</span><span>Triangle ABC and triangle DEC are <u>SIMILAR</u>.</span>
