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Sagot :
Answer:
- 15 m
Step-by-step explanation:
Refer to attached picture
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
Use tangent to solve
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
Compare the equations above and find the value of d:
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
Now find the value of h:
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
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