In all cases, draw a diagram. Looks like you need to review your basic trig functions.
#1. h/4535 = tan5°
#2. (h-4)/150 = tan42°
#3. for a triangle with side s, A = √3/4 s^2
#4. use the hint! F = 180-42-63 = 75°
DE/sin75° = 24/sin42°
An airplane pilot over the Pacific sights an atoll at the angle of depression of 5°. At this time, the horizontal distance from the airplane to the atoll is 4,535 meters. What is the height of the plane to the nearest meter? *
1 point
395 meters
397 meters
4,518 meters
51,835 meters
To find the height of a pole, a surveyor moves 150 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 42°. To the nearest foot, what is the height of the pole? *
1 point
135 ft
139 ft
108 ft
112 ft
A piece of art is in the shape of an equilateral triangle with sides of 15 in. What is the area of the piece of art to the nearest tenth? *
1 point
73.45 inches squared
84.5 inches squared
97.4 inches squared
169 inches squared
In ∆DEF, m∠D=42°, m∠E=63°, and EF=24 in. What is DE to the nearest tenth of an inch? *Hint: Law of Sines *
1 point
32.0 in
26.0 in
34.6 in
16.6 in
1 answer
1 answer