Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen i
s 21 inches.What is h, the height of the television screen?
A. 25 in.
B. 21 in.
C. 15 in.
D. 20 in.
A. 25 in.
B. 21 in.
C. 15 in.
D. 20 in.
1 answer:
Answer: the height of the television screen is 20 inches
Step-by-step explanation:
The diagram of the rectangular television screen is shown in the attached photo. The rectangle is labelled as ABCD. The diagonal forms a right angle triangle, ABC. This means that angle B is 90 degrees. The height it labelled as h. To determine h, we will apply Pythagoras theorem. Pythagoras theorem is expressed as
Hypotenuse ^2 = opposite ^2 + adjacent ^2
From the diagram,
hypotenuse = 29 inches
Adjacent = 21 inches. Therefore,
29^2 = 21^2 + h^2
h^2 = 29^2 - 21^2 = 841 - 441
h = √400
h = 20 inches
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Given :
A trailer will be used to transport several 40-pound crates to a store.
The greatest amount of weight that can be loaded into the trailer is 1,050 pounds.
An 82-pound crate has already been loaded onto the trailer.
To Find :
The greatest number of 40-pound crates that can be loaded onto the trailer.
Solution :
Weight left = 1050 - 80 = 970 pound.
Let, number of 40 pounds crates that can be loaded are x.
Since, crate cannot be in fraction, so maximum crate that can be loaded is 24.
Hence, this is the required solution.