Coconut palm trees can reach heights of up to 100 feet. Suppose you are lying on the beach at a distance of 60 feet from a 48-ft tall palm tree. What is the angle of elevation from your position to the top of the tree? Round to the nearest tenth if necessary.

Use pythagorus to find the length from your position to the top of the palm tree so: 48^2 + 60^2 = x^2

Should get 76.84

Then use the cosine rule to find the angle so the rule is:

C^2 = A^2 + B^2 - (2BC x cos c)

As the angle of elevation is opposite the length of the palm tree C is 48

And because you want the value of c you rearrange to get:

Cos c = A^2 + B^2 - C^2 / 2BC

So you should get Cos c = 0.781 then to find c which is the angle of elevation you do cos^-1 (0.781) = 38.65

Or instead of the cosine rule you can use simple trig and use the equation tan^-1 48/60 which also gives the angle = 38.65

I think it is 38.7 but im not sure