Question

Hakeem is on a tour bus in Paris with his family he sees l'arc de triomphe at an angle of 34°. if the Arc is 162 feet tall, how far away is the bus? round to the nearest tenth.

a. 134.4 ft
b. 90.6 ft
c. 240.2 ft
d. 109.3 ft

Answer 1

Side y = 109. 3

Explanation:

Step 1 The two sides we are using are Opposite (y)

and Adjacent (162).

Step 2 SOHCAHTOA tells us to use Tangent.

Step 3 Put our values into the tangent function:

tan 34° = Opposite/Adjacent

= y/162

Step 4 Solve:

Start with: tan 34° = y/162

Swap: y/162 = tan 34°

Multiply both sides by 162: y = 162 tan 34°

y = 109.27

y = 109.27 (to 2 decimal places)

Side y = 109. 3