Answer:
9.72°
Step-by-step explanation:
Step one
Given data
let the hypotenuse be the distance the cyclist traveled = 6.5km
and let the opposite be the height of the mountain = 1.1 km
Step two:
<u>Applying SOH CAH TOA</u>
sin ∅= opp/hyp
∅= sin-1 opp/hyp
∅= sin-1 1.1/6.5
∅= sin-1 0.169
∅= sin-1 0.169
∅=9.72°
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.
D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm