Answer:
Step-by-step explanation:
The diagonals of the given parallelogram are QS and RT. We would first determine if its diagonals are congruent.
QS = √(1 - 5)² + (3 - 3)² = 16
RT = √(3 - 3)² + (4 - 2)² = 4
Since QS ≠ RT, it means that they are not congruent and this means that the parallelogram is not a rectangle.
Let us check if the diagonals are perpendicular.
Slope of QS = (3 - 3)/(5 - 1) = 0/4
Slope of RT = (2 - 4)/(3 - 3) = - 2/0
The slopes are not opposite reciprocals. It means that the diagonals are not perpendicular. Therefore, the correct option is
D. QRST is none of these because its diagonals are neither congruent nor perpendicular.
70 + 78 + 91 = 239
239 - 42 - 36 = 161
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
.