Maths in Focus: 6.14 Question 8 Help (1 Viewer)

[Ambility]

I know, M.I.F. is shit, yada yada yada, get over yourselves. I'm forced to use it.

Does anyone know how to answer the question 8 of 6.14?

"David walks along a straight road. At one point he notices a tower on a bearing of 053 degrees, with an angle of elevation of 21 degrees. After David walks 230m, the tower is on a bearing of 342 degrees, with an angle of elevation of 26 degrees. Find the height of the tower correct to the nearest metre."

Apparently the answer is 48. I don't know how to get there.

 

[InteGrand]

I know, M.I.F. is shit, yada yada yada, get over yourselves. I'm forced to use it.

Does anyone know how to answer the question 8 of 6.14?

"David walks along a straight road. At one point he notices a tower on a bearing of 053 degrees, with an angle of elevation of 21 degrees. After David walks 230m, the tower is on a bearing of 342 degrees, with an angle of elevation of 26 degrees. Find the height of the tower correct to the nearest metre."

Apparently the answer is 48. I don't know how to get there.

Is this problem even consistent with itself? It says that initially the bearing of the tower was 053 deg, which means the tower was somewhere to the right of David. So it's not possible for the tower to later be on a bearing of 342 deg, since that would mean the tower is to the left of David, and we are told the road is straight.

 

[Ambility]

Is this problem even consistent with itself? It says that initially the bearing of the tower was 053 deg, which means the tower was somewhere to the right of David. So it's not possible for the tower to later be on a bearing of 342 deg, since that would mean the tower is to the left of David, and we are told the road is straight.

I believe it is possible. David is SW of the tower then travels east and becomes SE of the tower.

 

[Librah]

Enigma_1.

 

[enigma_1]

I believe it is possible. David is SW of the tower then travels east and becomes SE of the tower.

Yeah the only way I can think of is he walks east and then you write in all the angles around the triangle from a birds eye view. Then you use the sine rule to find the other two sides of the triangle using the angles you figured out.
Then you just use tan with the angle of elevation part to find the height but idk why I'm getting two different answers like 89 and 71 lol

Enigma_1.

I did post but my post got deleted