A flagpole casts a shadow that is 21m long when the angle between the suns ray and the ground is 48. Determine the height of the flagpole to the nearest metre

23 m

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between angle functions and side measures in a right triangle. The geometry of this problem can be modeled as a right triangle with one leg (h) equal to the height of the pole, and one leg (21 m) that is the shadow length on the ground. The angle of the sun's rays is the angle opposite the h leg, so we can use ...

Tan = Opposite/Adjacent

tan (48°) = h / (21 m)

h = (21 m) tan (48°) ≈ 23.32 m

The height of the flagpole is about 23 meters.