Question 1 The angle of elevation of the top of a flagpole, as observed from a point 19 m from its base
is 42°. Find the height of the flagpole.
(5marks)​

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side opposite the given angle.

The base of the triangle is given as 19 meters and represents the side adjacent to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: tan(42 degrees) = h / 19

This means that your answer = 19 * tan(42) = 17.11 meters

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

******************

this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years

there is no picture in order for this question to be answered