Question

PLEASE HELP!

If g=26.4 and F=35°, find h. Round to the nearest tenth.

a. h=22.6
b. h=21.6
c. h=24.6
d. h=20.6

Answer 1

if g=26.4 and f=35
b. h=21.6

Answer 2

21.6

Explanation:

Given : A right angled triangle HGF

Hypotenuse = HF= g = 26.4

∠F = 35°

Perpendicular =HG= f

Base = FG = h

To Find : h

Solution :

We will use trigonometric ratio .

`cos\theta = (Base)/(Hypotenuse)`

`cos35^(\circ) = (FG)/(HF)`

`cos35^(\circ) = (h)/(g)`

`0.819= (h)/(26.4)`

`0.819* 26.4= h`

`21.6= h`

Hence the value of h is 21.6

Option b is correct .