using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.
<h3>What is the Law of Sines?</h3>The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.
Given the following:
Apply the law of sines
sin 30/25 = sin 65/H
H = (sin 65 × 25)/sin 30
H ≈ 45 ft.
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Answer:
<em>The length of RS is 47 units</em>
Step-by-step explanation:
<u>Midsegment Theorem</u>
The midsegment of a trapezoid is a line segment that connects the midpoints of the non-parallel sides.
The length of the midsegment of a trapezoid is the average of the lengths of the bases.
The midsegment of the given trapezoid is VW, and the bases are RS and UT.
According to the midsegment theorem:
Substituting the variable lengths of the sides:
Operating:
Dividing the fraction:
Rearranging:
Operating:
x=16
The length of RS is:
The lenght of RS is 47 units