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=6
Step-by-step explanation:
There are 1,000 grams in a kilogram and she has two kilograms, so there are 2,000 grams. She eats 125 of them so you subtract 125 from 2,000 and you get 1875. She has 1875 grams left of grapes.
P(t)=number of sheet of paper after t minutes.
p(t) will have to be equal to 0, wnen the printer use all 100 sheets of paper;
Therefore;
if p(t)=0
Then:
-8t+100=0
We solve this equation.
-8t+100=0
8t=100
t=100/8
t=12.5
Answer: the printer prints 100 sheets of paper in 12.5 minutes.
4 - 8 = -4.
Note that 8 (in the equation) comes after 4 (also in the equation) so, that makes the answer negative. If you wrote the equation like this:
8 - 4 = 4. Then it would equal 4, not negative 4 as given.
So,
a = 8
