A certain television is advertised as a 90- inch Tv ( the diagonal length).
1 answer:
Answer:
The width is 64.3 inches
Step-by-step explanation:
Given
--- diagonal
--- height
Required
Determine the width (w) of the TV
To do this, we make use of Pythagoras theorem which is illustrated as:
So, we have:
Evaluate all squares
Collect like terms
Take positive square roots of both sides
-- approximated
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Using relations in a right triangle, it is found that:
- Since x and y are complementary angles, we have that sin(xº) = cos(yº).
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
The hypotenuse in this problem is given as follows:
h = 10.
The sine of x is:
The cosine of y is:
Since x and y are complementary angles, we have that sin(xº) = cos(yº).
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
x = 5
Step-by-step explanation:
The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.
<h3>Application</h3>
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<em>Additional comment</em>
Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.