Answer :
Answer:
47.8°
Step-by-step explanation:
Let's first outline the important parameters
--- <V = 90°
Vt = 64
UV = 43
The angles in a triangle sums up to 180,but we don't have up to 2 angles given so as to find the third one. What we have to is to find the second angle,in this case T,using the sine rule.
Sin v/v = sin t/t
(Sin 90)/64 = sin t/43
Cross multiply and we have
43 sin 90 = 64 sin t
Sin t = 43 sin 90 ÷ 64
Sin t = 0.6719
Sine inverse of t = 42.2°(the second angle)
Angle U = 180 -( 90 + 42.2)
180 - 132.2
= 47.8°
Answer:
U=56.1038≈56.1
Step-by-step explanation:
tanU=
adjacent
opposite
=
43
64
\tan U = \frac{64}{43}
tanU=
43
64
U=\tan^{-1}(\frac{64}{43})
U=tan
−1
(
43
64
)
U=56.1038\approx 56.1^{\circ}
U=56.1038≈56.1
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