In ΔEFG, the measure of ∠G=90°, EF = 38 feet, and FG = 30 feet. Find the measure of ∠F to the nearest degree.
2 answers:
Answer:
∠F = 42° to the nearest degree
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle.
Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle
Please check attachment for the diagrammatic representation of the triangle
From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine
mathematically;
Cosine of an angle = length of adjacent/length of hypotenuse
F = 42.07
∠F = 42° to the nearest degree
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