Lines AB and CD are parallel. Find the measures of angle AFB
1570
C
42°
F
B

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Ответ:

kat6282

24.09.2022

Mathematics

The angles in a triangle add up to 180°, so m∠A=180°-(68°+24°)=180°-92°=88°.

Look at the picture.

$\sin 88^\circ = \frac{h}{15} \\
0.9994 \approx \frac{h}{15} \\
0.9994 \times 15 \approx h \\
h \approx 14.991 \\ \\
\sin 68^\circ = \frac{h}{x} \\ 
0.9272 \approx \frac{14.991}{x} \\
0.9272x \approx 14.991 \\
x \approx \frac{14.991}{0.9272} \\
x \approx 16.17
$

The answer is 16.17 cm.

In ∆abc, ac = 15 centimeters, m b = 68°, and m c = 24°. what is bc to two decimal places? 6.58 cent

In ∆abc, ac = 15 centimeters, m b = 68°, and m c = 24°. what is bc to two decimal places? 6.58 cent

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Lines AB and CD are parallel. Find the measures of angle AFB 1570 C 42° F B