So for question 7 part A the picture will be a triangle similar to the the one that shows the umbrella's height. But the base will be 40 and the height will be 130.
for part B the angle of depression can be found using the trigonometric function of tangent.
tan x = 40/130
tan^-1 (tan x) = tan^-1 (40/30)
x = 17 degrees
I hope i am right
2(x+3)=15-x
2x+6=15-x
+x +x
3x+6=15
-6 -6
3x=9
/3 /3
x=3
By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
<em><u>Recall:</u></em>
- Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.
- SOH represents: sin ∅ = Opp/Hyp
- CAH represents: cos ∅ = Adj/Hyp
- TOA represents: tan ∅ = Opp/Adj
The diagram attached below depicts the problem given.
∅ = x
Opp = 15 ft
Hyp = 50 ft
- Thus, applying the trigonometry ratio, SOH, we have:
sin x = 15/50
x = 
x = 17.5°
In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°
Learn more about trigonometry ratio on:
brainly.com/question/4326804
V=0.95h^2.9
h=7.5 feet→V=0.95(7.5)^2.9
V=0.95(344.8876664)
V=327.6432830
Rounded to the nearest tenth:
V=327.6 cubic feet