Question

Jean's eye level is 1.5 meters off the ground. When he stands 430 meters from the base of the Eiffel Tower, he must tilt his head up by 36° to see the top of the tower. Based on this, how tall is the Eiffel Tower? Round to one decimal place, if necessary, and include units in your final answer. SHOW WORK

Answer 1

313.9

Explanation:

First use trigonometric ratio of tan .

consider the angle to be 36 .

base of the triangle to be 430 .

consider the perpendicular to be the height of the tower from the eye level of Jean to the top. let's take it is x

the formula will be tan 36 = x /430

find x by using tan 36 = 0.73 and multiplying this by 430

it will be 312.4

adding the height of jean 1.5 .

total height of the tower is 313.9

Answer 2

313.9 m

Explanation:

tan 36° = opp/adj

tan 36° = y/430

y = 430 tan 36°

y = 312.4

height = 1.5 + 312.4 = 313.9

Answer: 313.9 m