Answer:
Part 5) The length of the ski lift is 
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have
----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees
substitute
Applying the law of sines
substitute
Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees
-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees
-----> equation B
Equate equation A and equation B and solve for x
<u><em>Find the value of BC</em></u>
therefore
The height of the tree is 18.12 m
Not sure if this is right or not, but I chose 125.11 after I typed in the equation, haven’t used R-value at all. Will comment if correct — APEX
The measure of the three missing angles in the given rhombus are:
x = 122°
z = 58°
y = 122°
<h3>What is a Rhombus?</h3>
A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.
x and 58° are adjacent angles and are therefore supplementary.
x = 180 - 58 = 122°
z = 58° (opposite angles)
y = x = 122° (opposite angles)
Learn more about a rhombus on:
brainly.com/question/20627264
#SPJ1
2d hour- 10 puppies
3rd hour- 8 puppies
4th hour- 6 puppies
5th hour- 4 puppies
6th hour- 2 puppies
" = inches
' = feet
the scale is 1:30
3" * 30" = 90"
4" * 30" = 120"
the room is 90" by 120"
90" / 12" = 7.5'
120" / 12" = 10'
the room is 7.5' by 10'
7.5' * 10' = 75' ^2
^ = exponential sign (10^2) means 10 to the second power.
The area of the room is 75' ^2
