I will show you how to solve it by solving the 1st, after you will apply the same methodology:
Let the right triangle be ABC, (A the tree house, B the perpendicular to the ground).
Firstly the angle of depression being 32°, then the angle A of the triangle is 48° (32+48=90) then Angle C=42° & B=90°
We know that AB = 14ft, but we need another side to be able to use trigonometry. To that end we use the sin theorem:
AB/ sin 48 = AC/sin90 = CB/sin 42.
To calculate AC: we use AB/ sin 48 = AC/sin90
AB=14 (given) & sin90°=1====>14/0.743 = AC/1 ==> AC=18.938 FT
89.95 x 0.05 (5%)
=4.4975
The final cost of the DVD player is 89.95-4.4975
=85.4525
≈ $85.45
18. Fran's Funhouse is building a new claw machine that needs to hold 15 stuffed animals. Each stuffed animal takes up 1,152in( Cubed )amount of space.
Step-by-step explanation:
the set F of the factors of 6 :
F ={1, 2, 3, 6}