Given the triangle below, find the angle θ in radians. Round to four decimal places.
2 answers:
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
Plug in the given information
Use the inverse cosine ratio
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!
Answer:
theta = 0.9626 radians
Step-by-step explanation:
cos theta = a/h
cos theta = 4/7 = 0.5714
so, the angle theta = arc cos 0.5714 =
55.1520 °
in radians => 55.1520 × π / 180°
= 0.9626 radians
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