What are the values of x and y?
1 answer:
This is a 30°-60°90° triangle, such that the ratio of the side lengths are 
. If the length of the hypotenuse is 14, then the length of 
is 7 units and 
is 
.
If you've never seen a 30°-60°90° triangle before, you can easily derive it by making an equilateral triangle (that is, with all angles of 60°) that has side lengths two. Then, you cut the triangle in half and solve for the hypotenuse using the Pythagorean Theorem.
If you've never seen a 30°-60°90° triangle before, you can easily derive it by making an equilateral triangle (that is, with all angles of 60°) that has side lengths two. Then, you cut the triangle in half and solve for the hypotenuse using the Pythagorean Theorem.
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Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio
Hence The height of tree house is 70.71 feet
<u>Given</u>:
The diameter of the circle P is 30 cm.
The radius of the circle P is 15 cm.
The measure of ∠RPS is 125°
We need to determine the arc length of QR.
<u>Measure of ∠QPR:</u>
The angles QPR and RPS are linear pairs.
Thus, we have;
Substituting the values, we have;
Thus, the measure of ∠QPR is 55°
<u>Arc length of QR:</u>
The arc length of QR can be determined using the formula,
Substituting and r =15, we get;
Thus, the arc length of QR is 14.4 cm.
Hence, Option d is the correct answer.