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
You need help with geometry ?
Answer:
$148.50
Step-by-step explanation
I solved this by using fractions.
x/450=33/100 is how I set up the problem. 33/100 represents 33%, while x/450 represents how much the jacket costs now.
I then went across and multiplied x by 100, and 450 by 33, which gave me 100x=14850. After this I divided each side by 100 to get 148.5, being the cost of the jacket.
Answer: 10 minutes
Step-by-step explanation:
First you have to find out how big the tank is. You will have to you the formula Length x Width x Height. 20 x 18 x 10= 3,600 in. Then you would divide that by 360. 3,600/360= 10. It would have to take 10 minutes to empty the aquarium.
Radius of the circle = r = 6.4 cm
Length of the arc = s = 8 cm
Measure of angle formed by the arc = <span>θ = ?
The radius of the circle, arc length and the angle made by the arc at the center of the circle are related by the equation:
s = r</span><span>θ
From here we can find </span><span>θ by:
</span><span>θ = s/r
Using the values, we get:
</span><span>θ = 8/6.4
</span><span>
θ</span><span>= 1.25 radians
Thus the radian measure of the angle </span>θ made by the arc will be 1.25 radians
