What expression gives the height, h, of the triangle? a) 12tan80 b) 12 tan80 c) 6tan80 d) 6 tan80

Hi your question lacks some vital figures but i think you are talking about a right angled triangle from the options you gave so i will explain how to get the height in general

Explanation:

using the SOHCAHTOA rule

O = opposite side to the given angle ( the height )

H = hypotenuse side ( longest side ) of the triangle

A = adjacent side of the triangle

S = sine of the angle given

C = cosine of the angle given

T = Tangent of the angle given

Ф = 80

from your options you have all the possible answers bearing TANGENT

tan Ф = opposite / adjacent  

tan 80 = height / adjacent by cross multiplication

if adjacent = 12

answer would be height ( x ) = 12 tan80

if adjacent = 6

answer would be height ( x ) = 6 tan80

hi there!

the answer you are looking for is relatively steep.

have a nice day!