A hiker is 400 meters away from the base of the radio tower.the angle of elevation to the top of the tower is 46°. How high is the tower?

2 answers

draw a diagram and review your basic trig functions. It should be clear that the height h can be found using

h/400 = tan46°
To solve this, use tan θ = opposite / adjacent

Inputting the values that is given

tan 46° = x / 400, the x here is the height of the tower

tan 46° * 400 = x

x = 414.21 m

It will be easier to understand if you draw a triangle and solve it from there

the soh cah toa rules is also important to keep in mind