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MrRissso [65]
2 years ago
14

Find DE (trigonometry) Show work pls

Mathematics
1 answer:
Ksju [112]2 years ago
7 0

Answer:

Step-by-step explanation:

tan61=FD/24

FD=24tan61

tan19=DE/FD

DE=FDtan19, since FD=24tan61

DE=(24tan61)(tan19) (exact)

DE=14.9 units (rounded to nearst tenth)

Though they might round to 15 units...

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A, b and c are the sides of a right triangle, where side a is across from angle a, side b is across from angle b, and side c is
Vera_Pavlovna [14]
<span>Find missing length :
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a² + b² = c²
c² = 19² + 34²
c² = 1517
c = √1517
c = 38.95 units.


Find missing angle A:

\dfrac{a}{\sin(a)} =  \dfrac{c}{\sin(c)}

\dfrac{19}{\sin(a)} =  \dfrac{38.95}{\sin(90)}

\sin(a) = 0.488

a = sin^{-1} (0.488)

a = 29.2 \textdegree


Find Missing B:

\dfrac{b}{\sin(b)} = \dfrac{c}{\sin(c)}

\dfrac{34}{\sin(b)} = \dfrac{38.95}{\sin(90)}

\sin(b) = 0.873

b = sin^{-1}(0.873)

b = 60.8 \textdegree


Answer: Missing length =  38.95 units ; Missing angles =  29.2°  and  60.8° 

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