Tuesday

March 3, 2015

March 3, 2015

Posted by **claudia** on Friday, May 18, 2007 at 7:56am.

A surveyor, standing at an observation point on a cliff top of a height 300m above sea level, can see a boat and a bouy out at sea, both directly in front of him. He measures the angle from the top of the cliff to the bouy Y as 27 degrees and the angle from the top of the cliff to the boat Z as 18 degrees

make a diagram and put in all your information.

You should see two right-angled triangles.

tan 27 = 300/x, where x is the distance from the base of the cliff to the bouy is your first calculation.

if y is the distance from the base of the cliff to the boat, then tan 18 = 300/y

evaluate x and y, take y-x and state the answer to 2 significant figures.

Let me know what you get.

Reiny thank you so much for helping me.

Is it 55 ??

no, from tan 27 = 300/x

I got x= 300/tan27 = 588.8

from tan 18 = 300/y I got

y=300/tan 18 = 923.3

then the difference is 923.3-588.8

=334.5

which is 330 m to 2 significant figures.

**Answer this Question**

**Related Questions**

trig - Robert is standing on a cliff and looks down at an angle of depression ...

equation - A fox and an eagle lived at the top of a cliff of height 6m, whose ...

math - from a point 50 m from the base of a cliff, a surveyor measures the angle...

Math ( Surveying ) - Need help with this problem! Thanks in advance. The ground ...

Physics - A surveyor measures the angle from his location to the top of cliff to...

math - A surveyor has a unit pace of 0.9 m/pace. (a) she counts 37 paces while ...

KESHA - A surveyor must divert her path from point C by proceeding due south for...

formal geomerty - A person in a small boat sights the top of a 40-foot ...

math - from a boat, the angle of elevation of the foot of a lighthouse on the ...

maths - This taxi sign is 2.1 metres wide and 39cm tall. Assuming the ends are ...