Answer:

1. if x= 36 and y= 65 then h is equals to the square root of the sum of the squares of x&y by phytagorean theorem [√(x²+y²)]

h= √(x²+y²)

h= √(36²+65²)

h= √5521

to find ß let us use tangent

tan(ß)= opp/adj

tan(ß)= 36/65

ß= 28.98° or 28°58'

to find ∅ let us use again tangent

tan(∅)= opp/adj

tan(∅)= 65/36

∅= 61.02° or 61°1'

2. if h= 54 and a= 37 then o= √(h²-a²) by phytagorean theorem

o= √54²-37²

o= √1547

to find ß let's use sine

sin(ß)= opp/hypo

sin(ß)= 37/54

ß= 43.25° or 43°15'

to find ∅ let's use cosine

cos(∅) = adj/hypo

cos(∅)= 37/54

∅= 46.76° or 46°44'

3. if a= 6 and ∅= 40° then b= ?

to find b let's use tangent

tan(∅)= opp/adj

tan(40)= 6/b

b= 6/[tan(40)]

b= 7.15

to find h let's use sine

sin(∅)= opp/hypo

sin(40) = 6/h

h= 6/[sin(40)]

h= 9.33

to find ß let's use cosine

cos(ß)= adj/hypo

cos(ß)= 6/9.33

ß= 50°

pa brainliest po thank you