or the above triangle. e- sin ain 53 Cos 53 tan 531.3 Note that 4/5 c.8o. Alsoif
ID: 1573164 • Letter: O
Question
or the above triangle. e- sin ain 53 Cos 53 tan 531.3 Note that 4/5 c.8o. Alsoif you use your calculator to determine sin 53, you will get 0.7986% which is 0.80 if two significant figures are considered. The trig functions are useful because a if we know one angle and one side wa can find the other rb)ist we know two sides we can find the angies. two sides lustration for (a) ou kno that:one angle is 60 and one side is ind A and o- i0 cm ( 10 cos 60 10 c 1 0 Page 3 of 9 MacBook Air 20 FI F2 F3 FSExplanation / Answer
7] By using Pythagoras theorem,
4^2 = 2^2 + y^2
y = sqrt(4^2 - 2^2) = 3.46
8] sin 60 degree = x/4.7
x = sin 60 degree*4.7 = 4.07 cm
cos 60 degree = y/4.7
y = cos 60 degree * 4.7 = 2.35 cm
9] sin 35 degree = x/3.6
x = sin 35 degree*3.6 = 2.06 cm
cos 35 degree = y/3.6
y = cos 35 degree*3.6 = 2.95
tan theta = y/x
theta = arctan(2.95/2.06) = 55 degree
10] cos 50 degree = 2.5/H
H = 2.5/(cos 50 degree) = 3.9 cm
tan 50 degree = x/2.5
x = tan 50 degree*2.5 = 2.98
tan alpha = 2.5/2.98
alpha = arctan(2.5/2.98) = 40 degree
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.