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2 answers:
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Answer:
The length of the shadow the telephone booth is <u>12 ft</u>.
Step-by-step explanation:
Given:
An adult elephant that is 10 ft tall casts a shadow that is 15 ft long.
The length of the telephone booth is 8 ft.
Now, to find the length of the shadow the telephone booth casts.
Let the length of the shadow the telephone booth be
As given, an adult elephant that is 10 ft tall casts a shadow that is 15 ft long.
So, 10 ft is equivalent to 15 ft.
Thus, 8 ft is equivalent to
Now, to get the length of the shadow of the booth we get cross multiplication method:
<em>By cross multiplying we get:</em>
<em>Dividing both sides by 10 we get:</em>
Therefore, the length of the shadow the telephone booth is 12 ft.
Answer:
- 2.54 km
Step-by-step explanation:
<em>See the attached</em>
All given details are reflected in the diagram (not to scale)
- PA is at 225°, PB is at 116°, BA is at 258°
- AB = 3.9 km
- AP = x
- m∠P = 225° - 116° = 109°
- m∠A = 258° - 225° = 33°
- m∠B = 180° - (109° + 33°) = 38°
<u>Use the law of sines:</u>
- x/ sin 38° = 3.9 / sin 109°
- x = 3.9 sin 38° / sin 109°
- x = 2.54 km (rounded)
