Question

If the distance from the boat to the lighthouse is 110 meters and the angle of elevation is 44°, which of the following equations will find the height of the lighthouse?

Answer 1

Answer:

9.656cm

Step-by-step explanation:

Applying  SOH CAH TOA

The opposite to the angle 44° is the height

let the height be x meters

The distance from the both to the lighthouse is 110 meters which is the adjacent

Applying Tan ∅= opp/adj

The equation used to find the height is Tan ∅= opp/adj

$Tan (44)=\frac{x}{110} \\\0.9656= \frac{x}{110} \\\\0.9656*10= x\\9.656=x\\x= 9.65cm$

The height is 9.65cm