Trigonometry › Solving Word Problems with Trigonometry
While waiting for your sister to finish her bungee jump, you decide to figure out how tall the platform she is jumping off is. You are standing feet from the base of the platform, and the angle of elevation from your position to the top of the platform is
degrees. How many feet tall is the platform?
You need to build a diagonal support for the bleachers at the local sportsfield. The support needs to reach from the ground to the top of the bleacher. How the support should look is highlighted in blue below. The bleacher wall is 10 feet high and perpendicular to the ground. The owner would like the support to only stick out 3 feet from the bleacher at the bottom. What is the length of the support you need to build?
When the angle of elevation of the sun is degrees, a flagpole casts a shadow that is
feet long. In feet, how tall is the flagpole?
An airplane takes off from point and reaches its maximum altitude of 31,000 ft. The angle from the point of takeoff to the plane at maximum altitude is 55 degrees. What is the distance from point
to where the plane reaches maximum altitude?
Two buildings with flat roofs are 80 feet apart. The shorter building is 55 feet tall. From the roof of the shorter building, the angle of elevation to the edge of the taller building is 32o. How high is the taller building?
You are reading a billboard perpendicular to the ground walking downtown. You are standing about 500 ft from the base of the billboard and looking up at an angle of 67 degrees. About what height is the part of the billboard you are looking at standing at? Round to the nearest whole number.
Two buildings with flat roofs are 50 feet apart. The shorter building is 40 feet tall. From the roof of the shorter building, the angle of elevation to the edge of the taller building is 48o. How high is the taller building?
Two buildings with flat roofs are 330 feet apart. The shorter building is 31.4 feet tall. From the roof of the shorter building, the angle of elevation to the edge of the taller building is 61.4o. How high is the taller building?
You have a shadow that measures 66cm from your feet. You are 60cm tall. What is the sun’s angle of elevation? Round to the nearest degree.
From the top of a lighthouse that sits 105 meters above the sea, the angle of depression of a boat is 19o. How far from the boat is the top of the lighthouse?