This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
θ = {(4/3 +2k)π, (5/3 +2k)π}
Step-by-step explanation:
From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.
θ = 4/3π +2kπ, and 5/3π +2kπ
Answer:
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The answer to the above math expression is . See the computation below.
<h3>What is the calculation justifying the above?</h3>
First we solve for the numerator. The numerator is:
7√2 - 2√16
Where:
7√2 = 9.89949493661; and
2√16 = 8
Hence,
7√2 - 2√16 = 1.89949493661
Next we solve for the denominator. This is given as:
3√8=8.48528137424
Hence,
(7√2 - 2√16)/3√8 = 1.89949493661/8.48528137424
= 0.22385762508
0.224
Learn more about math expressions:
brainly.com/question/4344214
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1, yes by the rule of S:A:S
2. yes by the rule of aas
5. yes by the rulee of side-hypnotuse-angle
4 yes by side angle side
