2) Shawn's cat is currently stuck in a tree. Shawn has a ladder that is 15 feet long and he places the ladder 10 feet from the b
ase of the tree. At what angle of depression is Shawn's cat looking at him?
1 answer:
Answer:
48.19°
Step-by-step explanation:
Check the attachment for the diagram.
The set up is a right angled triangle
Using the SOH, CAH, TOA trigonometry ratio to get the angle of depression theta.
The length of the ladder will be the hypotenuse of the triangle.
If he places the ladder 10 feet from the base of the tree, the adjacent of the triangle will be the base of the triangle.
Given Hypotenuse = 15feet
Adjacently = 10feet
According to CAH;
cos(theta) = Adjacent/Hypotenuse
cos(theta) = 10/15
cos(theta) = 2/3
theta = arccos(2/3)
theta = 48.19°
Shawn cat is looking at him at an angle of depression of 48.19°
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The working is on the picture
The working is on the picture
Answer:
The lateral area rectangular prism is .
The area of the two bases of rectangular prism together is .
The total surface area rectangular prism is .
Step-by-step explanation:
Height of the rectangular prism = h = 4 units
Length of the base of the rectangular prism = l = 6 units
Width of the base of rectangular prism = b = 5 units
Rectangular prism = Cuboid
Lateral surface area of cuboid = L.S.A = 2 × h × (l+b)
Lateral surface area of rectangular prism :
Area of the base = l × b
Area of the base of the rectangular prism =
Area of the two bases =
Total surface area of cuboid = T.S.A = 2 ×(lb+bh+hl)
Lateral surface area of rectangular prism :