Answered

Join the IDNLearn.com community and start finding the answers you need today. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

From the top of a tower, the angle of depression to a flower on the ground
is 74º. The top of the tower is 90 feet above ground. How far is the flower
from the foot of the tower? (Round to 1 decimal place.) *

Sagot :

Mathstudent55idn

Answer:

25.8 ft

Step-by-step explanation:

Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.

For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.

tan A = opp/adj

tan 16° = x/(90 ft)

x = 90 ft * tan 16°

x = 25.8 ft

Answer: 25.8 ft

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.