Mathematics Ms Sue help
posted by adam .
You want to estimate the height of the Empire State Building. You start at its base and walk 15 m away. Then you approximate the angle from the ground at that point to the top to be 88 degrees. How tall do you estimate the Empire State Building to be?

An anchor holding a boat stationary on a river forms a 65 degree angle with the river bottom. The anchor line is 40 meters long. Assuming the river has a uniform depth, how deep is the river directly below the boat?

sorry for the repost. thanks for all your help you provide everybody on the daily

If you look at your diagram, you should see a rightangled triangle, with base angle 88°, opposite = ? = height
and adjacent = 15 m
so height/15 = tan88
height = 15tan88 = appr 429.5m 
for the building,
h/18 = tan 88°
for the boat,
d/40 = sin 65°
for stuff like this, it always helps to draw a diagram, then dig into your box of trig ratios 
For you second question...
this time you know the hypotenuse and the opposite side, so you know you must dealing with the sine ration
sin 65 = height/40
height = 40sin65 = appr 36.25 m 
thanks for all you guys helps. drawing shows a better concept then straight digging it thanks

400 m