Answer:
The distance from hot air balloon to the ground
.
Step-by-step explanation:
Labelled diagram of given scenario is shown below.
Given that,
An angle of elevation of Hot air balloon by Angie is
°.
When she stepped back
then angle of elevation was
°.
Height of Angie is
.
To find: How far off the ground is a hot air balloon.
So, from figure
Height of Angie 
In triangle Δ
,
⇒ 
⇒
....................(1)
Now, In triangle Δ
⇒ 
⇒ 
Here, substituting the value
from Equation (1) we get,


⇒
⇒ 
⇒
Now, finding the value of
from equation (1)

Therefore Length of
= 
.
Hence,
The distance from hot air balloon to the ground
.
Well alternate angles are congruent, so that means they would both have the same measurement.
If you’re talking about equations with an angle then make the equations equal each other and solve. :)
Answer:
Percentage of students who scored greater than 700 = 97.72%
Step-by-step explanation:
We are given that the College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100.
Let X = percentage of students who scored greater than 700.
Since, X ~ N(
)
The z probability is given by;
Z =
~ N(0,1) where,
= 500 and
= 100
So, P(percentage of students who scored greater than 700) = P(X > 700)
P(X > 700) = P(
<
) = P(Z < 2) = 0.97725 or 97.72% Therefore, percentage of students who scored greater than 700 is 97.72%.
4:6 = 2:3
2:3 times 7 equals 14:21
Hope this helped!