Question

Three simple geometry problems for 100 points. What is the measure of the missing angle?

Answer 1

Hey there !!

↪ For figure 1 :- Solution :-)

→ $\angle$B = 30° .

→ AC = 10ft .

→ AB = ?

▶ Now, in right ∆ABC,

→ Sin 30° = $\frac{AC}{AB}$ .

=> $\frac{1}{2}$ = $\frac{10}{AB}$ .

=> AB = 10 × 2 .

•°• AB = 20 ft .

↪ For figure 2 :- Solution :-)

→ $\angle$A = 60° .

→ AD = 6 meters.

→ AB = ?

▶ Now, in right ∆ABD ,

→ Cos 60° = $\frac{AD}{AB}$ .

=> $\frac{1}{2}$ = $\frac{6}{AB}$ .

=> AB = 6 × 2 .

•°• AB = 12 meters .

↪ For figure 3 :- Solution :-)

→ $\angle$C = 30° .

→ AB = 4 inches.

→ AC = ? .

▶Now , in right ∆ABC,

→ Sin 30° = $\frac{AB}{AC}$ .

=> $\frac{1}{2}$ = $\frac{4}{AC}$ .

=> AC = 4 × 2 .

•°• AB = 8 inches .

✔✔ Hence, it is solved ✅✅.

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THANKS

#BeBrainly.

Answer 2

mark it as brainliest