Question

Pls help WILL GIVE BRAINLIST

Answer 1

Answer:

135.94 feet

Step-by-step explanation:

Split the problem into two parts :

1. Distance between viewer and building
2. Height of the top part of the building

Distance between viewer and building

• The lower part of the building is 40 feet, as it is mentioned the viewer is 40 feet above street level
• Let the distance be called 'd'
• Therefore, tan37° = 40/d
• tan37° = 3/4 = 0.75
• ⇒ 40/d = 0.75
• ⇒ d = 40/(3/4) = 40 x 4/3 = 160/3 = 53.3 feet

Height of the top part of the building

• Let the height of the top part be 'h'
• Therefore, tan61° = h/d = h/53.3
• tan61° = 1.8
• ⇒ h/53.3 = 1.8
• ⇒ h = 53.3 x 1.8 = 95.94 feet

Total height of building

• Lower part + Top part
• 40 + 95.94
• 135.94 feet