Question

From a point level with the base of a water tower the angle of elevation to the bottom of the water tank is 38° into the top of the water tank is 47° if the water tank itself is 20 feet high, what is the height of the tower and tank together? show your work

Answer 1

Answer:

Brainly.in

What is your question?

1

Secondary School Math 5 points

From a point on the ground the angle of elevation of the bottom and top of the water tank at the top of 20 meters high tower are 45 degrees and 60 degrees. Draw the diagram

Ask for details Follow Report by Teja1333 11.02.2018

Answers

Geekydude121

Geekydude121 Virtuoso

According to question,

Height of building L = 20 m

Angle from top of building theta = 45 deg

Angle from top of tank A = 60 deg

Let the height of tank be x

Thus

tan theta = L/ B

tan 45 = 20 / B

Thus

B = 20 m

Now

tan A = x + L / B

x + L = tan 60 * 20

x = 20 ( root 3 - 1)

Answer 2

Distance between point of observation Distance between point of observation and foot of tower = 20 m = BC

Angle of elevation of top of tower = 60° = θ

Height of tower H = AB

Now from fig ABC

ΔABC is a right angle triangle