Answer/Step-by-step explanation:
1. Reference angle = 37°
Opposite side = 15 ft
Adjacent side = height of tree = x
✅Equation:
Tan 37° = 15/x
Solve:
x*tan 37 = 15
x = 15/tan 37
x = 15/0.75
x = 20
✅Sentence answer: height of the tree = 20 ft
2. Reference angle = 52°
Hypotenuse = 300 m
Opposite side = height of the building = x
✅Equation:
Sin 52° = x/300
Solve:
Sin 52 * 300 = x
0.79 * 300 = x
237 = x
x = 237
✅Sentence answer: height of the building = 237 meters
2. Reference angle = 75°
Hypotenuse = 20 ft
Adjacent side = distance of the building to the base of the ladder = x
✅Equation:
Cos 75 = x/20
Solve:
Cos 75 × 20 = x
0.26 × 20 = x
5.2 = x
x = 5.2
✅Sentence answer: distance of building form the base of the ladder = 5.2 ft