How do you find the actual height of an object or triangle given angle and distance?

for example how do find the actual height of a box lamp pos given that the distance is 23 feet and the angle is 40 degrees?How do you find the actual height of an object or triangle given angle and distance?
All you need to remember for these type of problems is:


SOH CAH TOA





or... sine(theta)= opposite over hypotenuse


cosine(theta)=adjacent over hypotenuse


tangent(theta)= opposite over adjacent





Try drawing the problem. You will end up with a triangle where you know two pieces of information and are looking for the third. Then choose the formula that works best for the problem.





In your example tangent works best. So....





tan(40)= x/23. Solve for x and you have


x=23*tan(40)=19.30 feetHow do you find the actual height of an object or triangle given angle and distance?
not sure if i understand exactly but from what i am picturing i would make a right triangle. then use tan to solve for anser


so i get


23 tan 40 = 19.2993 feet