250m
353m
354m
433m
500m
Correct answer is E
\(\tan 45 = \frac{x}{500}\)
\(x = 500 \tan 45\)
= \(500 m\)
20m
40√3m/3
20√3m
40√3m
60cm
Correct answer is B
\(\tan 30 = \frac{x}{40}\)
\(x = 40 \tan 30 = \frac{40}{\sqrt{3}}\)
= \(\frac{40\sqrt{3}}{3} m\)
If sin x = 12/13, where 0° < x < 90°, find the value of 1 - cos\(^2\)x
25/169
64/169
105/169
144/169
8/13
Correct answer is D
\(\sin x = \frac{12}{13}\)
\(\cos x = \frac{5}{13}\)
\(\cos^{2} x = (\frac{5}{13})^2 = \frac{25}{169}\)
\(1 - \cos^{2} x = 1 - \frac{25}{169}\)
= \(\frac{144}{169}\)
cos 115o
cos 255o
cos 285o
-sin165o
-sin 255o
Correct answer is C
No explanation has been provided for this answer.
Given that tan x = 5/12, what is the value of sin x + cos x ?
5/13
7/13
12/13
17/13
5/12
Correct answer is D
\(\tan x = \frac{opp}{adj} = \frac{5}{12}\)
\(Hyp^2 = opp^2 + adj^2\)
\(Hyp^2 = 5^2 + 12^2\)
= \(25 + 144 = 169\)
\(Hyp = \sqrt{169} = 13\)
\(\sin x = \frac{5}{13}; \cos x = \frac{12}{13}\)
\(\sin x + \cos x = \frac{5}{13} + \frac{12}{13}\)
= \(\frac{17}{13}\)
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