Answer:
30 degrees
Step-by-step explanation:
Answer:
29° ; 61°
Step-by-step explanation:
Let one angle = x°
Other angle = (x + 32)°
x + x + 32 = 90 {given they are complementary}
2x + 32 = 90
2x = 90 -32
2x = 58
x = 58/2
x = 29
One angle = 29°
Other angle = 29 + 32 = 61°
Answer:
Total surface area of the rectangular prism is 150.88 cm^2
Step-by-step explanation:
area of base = area of top
area of base = 5 x 3.1 = 15.5 cm^2
Area of small lateral surface having dimensions 3.1 cm x 7.4 cm is
=3.1 x 7.4 = 22.94 cm^2
Area of big lateral surface having dimensions 5 cm x 7.4 cm is
=5 x 7.4 = 37 cm^2
Total area of prism = 2 x 15.5 + 2 x 22.94 + 2 x 37 = 150.88 cm^2
total surface area of the rectangular prism is 150.88 cm^2
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
