Question

can someone please help me with my exam study sheet ? (ps i missed the actual exam due to my illness so i have to take a retake and my practice is the previous exam)

Answer 1

first question, find out which 3 of the four numbers collectively will satisfy Pythagoras' Theorem.
In other words, what three numbers make a Pythagorean triplet/triad?
part B is just saying these numbers satisfy Pythagoras' theorem as a triplet and therefore the triangle formed must be a right angled one.

The second question use trigonometric ratios to find the height. use 45 degrees as the squirrel is at a 45 degree elevation, not 60 (that is for height of tree).


Remember SOHCAHTOA

Repeat but with 60 degrees fore the tree.

Answer 2

so the first one is is 8 and 15 = 17 correct ? (all squared thats letter a solved
and b is asquared plus bsquared = csquared do you think that would be justified enough ?

Answer 3

and could you show me more on question two i still dont seem to quite understand it

Answer 4

yes 8,15,17 do fulfil Pythagoras theorem
since 8^2 + 15^2 = 17^2 as required.

Question 2 have you done trigonometry?

Answer 5

yes but it was very early in the semester and i cannot recall how to do it

Answer 6

could you please show me how ?

Answer 7

ok well you remember we have three trig ratios right? For a reference angle A
sinA = opposite/hypotenuse
cosA = adjacent/hypotenuse
tanA = opposite/adjacent.

sin, cos and tan are just ratios of sides generated by the reference angle A



Remember opposite means the side directly opposite (on the other side of the reference angle), adjacent means next to A, but not the hypotenuse and hypotenuse is always opposite the right angle and is the longest side.

Answer 8

The point of these three trig ratios:

sinA = opposite/hypotenuse
cosA = adjacent/hypotenuse
tanA = opposite/adjacent.

is that knowing an angle and one of the sides allows us to calculate one of the other two sides, or knowing any 2 sides allows us to calculate the reference angle.
So the question asks us to apply this to find the height of the tree and squirrel's position.
All we need to do is turn that situation into numbers on a right triangle

Answer 9

ok and how would i do this ? and 45 degrees is the opposite then ? and 25 ft is adjacent ?

Answer 10

so i use Tan A?

Answer 11

no. opposite, adjacent and hypotenuse are all SIDES not angles, they are sides for a particular reference. You do use tan though because



Here I decide to focus on the small triangle for squirrel and ignore the other triangle

Answer 12

oh now i see and how do i solve this ?

Answer 13

now the height of the squirrel you want to is the opposite side and you know the adjacent already, plus the angle that makes these two sides. This implies you need to use tan ratio
So use the formula for

tan A = opp/adj
Sub in A = 45, adj = 25
tan 45 = opp/25
Then rearrange this equation to find the opp side.

Answer 14

im sorry man but im confused is the opposite 25 ? and now im looking for the hypotenuse ?