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?
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 right-angled 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