To find the measure of each angle, assume the measure of one angle is x degrees. The other angle measures 56° less than the measure of its complementary angle. Solve the equation to find the measures of the angles.
To find the measure of each angle, let's assume the measure of one angle is x degrees.
According to the problem, the other angle measures 56° less than the measure of its complementary angle, which means it is 90 - x - 56 = 34 - x degrees.
Since two angles are complementary, their sum should be equal to 90 degrees.
Therefore, x + (34 - x) = 90.
Solving the equation, we get x = 28 degrees and 34 - x = 34 - 28 = 6 degrees.
So, the measure of each angle is 28 degrees and 6 degrees, respectively.
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Answer: Length OP = 82.38 feet
Step-by-step explanation: Given that the ΔNOP, the measure of ∠P=90°, the measure of ∠N=83°, and NO = 83 feet.
We can find the length of OP by using trigonometry ratio since it is a right angle
NO = hypothenus and
OP = opposite
Sin 83 = OP/NO
Sin83 = OP/83
OP = 83sin83
OP = 82.38 feet
Answer:
B(4, - 3 )
Step-by-step explanation:
We have A(2, - 7) and C(7, 3 )
Using the section formula to calculate the coordinates of B
= = = = 4
= = = = - 3
Hence B(4, - 3 )
Answer:
2 1/5, 1/5
Step-by-step explanation:
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