Answer:
15.43 ft
Step-by-step explanation:
To solve this question, one should use the concept of similar triangles.
The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem. Therefore, the distance of the top of the pole to the ground is:


The distance of the top of the pole to the ground is 15.43 ft.
<em> 24 mph</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>Vm = 21mph</em>
<em>V1 = 18mph</em>
<em>V2 = ?</em>
<em>Vm = (V₁ + V₂)/2</em>
<em>2Vm = V₁ + V₂</em>
<em>V₂ = 2Vm - V₁</em>
<em>replace Vm ; V₁</em>
<em>V₂ = 2×21mph - 18mph</em>
<em>= 42mph - 18mph</em>
<em>= 24 mph</em>
<em>Good luck !</em>
Answer:
∡BCE = 60
Step-by-step explanation:
Here, we want to find the angle marked BCE
From our diagram, the angle marked BCE is y
Looking at triangle BCE, we have the right angle, an angle measure of 30 and the angle marked y which we say is BCE
mathematically, the sum of all these will give 180 as the sum f the interior angles of a triangle is 180
Thus, we have that;
y + 30 + 90 = 180
y = 180-120
y = 60
Answer:
StartFraction 6 Over 5 x Superscript 10 Baseline EndFraction
Step-by-step explanation:
Apparently you want to simplify ...

The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
1/a^b = a^-b
(a^b)^c = a^(bc)
__
So the expression simplifies as ...

First, you must find how much $ the discount takes off
89.99 * .15
=13.4985
Subtract that from 89.99
=76.4915
If you estimate it,
$ 76.49