Matthew parks his car between Karen’s and Patrick’s apartment buildings. The car is 46 m in front of Karen’s apartment building. The angle of elevation from the car to the top of the building is 40°. Matthew’s car is 39 m away from Patrick’s apartment building. The angle of elevation from the car to the top of the building is 50°.
a) Determine the height of each building, to the nearest metre.
b) State which building is taller, and by how much.

  1. 👍 0
  2. 👎 0
  3. 👁 619
  1. if the buildings are of height k and p,

    k/46 = tan40°
    p/39 = tan50°

    now just evaluate k and p, take the difference

    1. 👍 0
    2. 👎 0
  2. Take the tangent of Karen’s and Matthew’s building to determine the height. Then subtract the two heights

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. physics

    Cars A and B are racing each other along a straight path in following manner: Car A has head start and is a distance dA beyond starting line at t=0. The starting line is at x=o. Car A travels at constant speed vA. Car B starts at


    You are driving your car and the traffic light ahead turns red. You applied the brake for 3.00 seconds and the velocity of the car decreases to 4.50 m/s. The car's deceleration has a magnitude of 2.70 m/s^2 during this time. What

  3. Physics

    Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. Car 1 suddenly starts to brake with constant acceleration and stops in 10 m. At the instant car 1 comes to a stop, car 2 begins to

  4. Physics

    Two stunt drivers drive directly toward each other. At time t=0 the two cars are a distance D apart, car 1 is at rest, and car 2 is moving to the left with speed v_0. Car 1 begins to move at t=0, speeding up with a constant

  1. physics

    Car A is travelling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind Car B when the drive of car A accelerates his car with an acceleration of2.4 m/s2. How long does it take Car A to overtake Car B?

  2. Math

    The graph below models the value of a $20,000 car t years after it was purchased. Which statement best describes why the value of the car is a function of the number of years since it was purchased? A: Each car value, y, is

  3. physics

    4. A 1500 kg car starts from rest and drives around a flat 50 m diameter circular track. The forward force provided by the car’s wheels is a constant 1000 N. a. What are the magnitudes and direction of the car’s acceleration

  4. Physics

    The speed time graph shows the motion of a car over a period of 40 seconds. a. describe the motion of the car between: 1.) O and A - The car is traveling at constant speed from 0 to 20 m/s. 2.) A and B - The car is at rest for 20

  1. physics : different question

    Rank the automobiles based on the magnitude of the force needed to stop them, from largest to smallest. 2000 kg car going 5m/s 500 kg car going 20 m/s 1000 kg car going20m/s 500 kg car going10m/s 1000 kg car going10/s 4000 kg car

  2. pre-cal

    The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building?

  3. physics

    Cars A and B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance Da beyond the starting line at t=0. The starting line is at x=0. Car A travels at a constant speed

  4. Zeeland WEST

    In a car accidnet involving a sports car, skid marks as long as 290 m were left by the car as it decelearted to a complete stop. The police report cited the speed of the car before breaking as beeing in excess of 100mph 161 km/m.

You can view more similar questions or ask a new question.