Home > Geometry > Angle Basics and Measurements

From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is #57°#, as shown below. If the distance between the radio antenna and the library is #1.3 mls#, how many miles high is the balloon?

Answer 1

I found #0.8mls#

We could use trigonometry, although I am not sure you know about it...! Anyway, using trigonometry we have that the height of the baloon #h# can be found as: #1.3/h=tan(57^@)# where #tan# is the trigonometric ratio known as Tangent . We can use a scientific calculator to find that: #tan(57^@)=1.5398~~1.5# so we get: #1.3/h=1.5# rearranging: #h=1.3/1.5=0.8mls#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.