Question
A boat is 300m away from the foot of a cliff. The angle of elevation from the boat to the top of the cliff is 16 degrees.
a) Determine the height of the cliff to the nearest meter.
b) If the boat sails 75 m closer to the cliff, determine , to the nearest degree, the new angle of elevation of the cliff top from the boat.
a) Determine the height of the cliff to the nearest meter.
b) If the boat sails 75 m closer to the cliff, determine , to the nearest degree, the new angle of elevation of the cliff top from the boat.
Answers
Scott
a) h / 300 = tan(16º)
... h = 300 * tan(16º)
b) tan(Θ) = h / (300 - 75)
... h = 300 * tan(16º)
b) tan(Θ) = h / (300 - 75)