A cellphone tower is located 700 feet from an office building. When looking out the window of the office, the angle of elevation to the top of the tower is 46 degrees, and the angle of depression to the bottom of the tower is 32 degrees. What is the height of the cellphone tower? (Please describe how you found the answer.)

Question

15-03-2018
Mathematics

contestada

A cellphone tower is located 700 feet from an office building. When looking out the window of the office, the angle of elevation to the top of the tower is 46 degrees, and the angle of depression to the bottom of the tower is 32 degrees. What is the height of the cellphone tower? (Please describe how you found the answer.)

Respuesta :

Otras preguntas

Write a function to represent each series of transformations: • rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the

Which rate is the best deal for a package of peanuts? A. $1.02 for 35 g B. $1.40 for 50 g C. $2.05 for 75 g D. $2.25 for 80 g

moylon has 10 DOLLARS less than the flut. the flut has 35 dollars more than greebly. if they have 75 dollars altogether how much does each creature have and who

Which form of patient best completes this sentence? Of the two brothers, Seth is __________ than Ben. A. patiently B. most patient C. more patient

Which revision best corrects the errors in the given sentence? A firm handshake like a friendly smile, a pleasant attitude, and good manners is a valuable asse

Choose the sentence that is punctuated correctly. (Points : 3) The works of Picasso, see reproductions on pages 122–128, marked a turning point in painting. The

The team raises most of their money at the bake sale. The error in this sentence is a A) pronoun-antecedent voice agreement error. B) pronoun-antecedent number

What is the repeating decimal for 8/11

GCF of 24 , 36 , and 60

Which word in the sentence does the adverb modify? I would feel almost happy about a shorter vacation. A. would B. vacation C. feel D. happy

MrGumby MrGumby · Answer 1 · 2018-03-20T02:35:21+01:00

By creating two right triangles (one for depression and one for elevation) and by using 700 as the adjacent side, you can use tangents to find the opposite sides and add them together.

Tan(45) = opposite side/700 or 700tan(45) = opposite side (elevation).

This of course equals 700.

Then do the same for the depression.

Tan(32) = opposite side/700 or 700tan(32) = opposite side (elevation).

Which equals 437.4.

Adding the two together and you get the height of the cell tower at 1137.4ft