Question

LHHHHH 520 2. A boy who is 5 feet 6 inches tall casts a shadow that is s feet and 3 inches long. What is the measure of the angle of elevation of the sun, A, as shown in the picture. Round to the nearest degree. Be careful with your units in this problem. 5 Ft + 6 in 5ftizin irtin-boints in 66 in Ft + 3 in=&ftin ft t3 in = 96 int3 in +99 in. 66.in 3. An isosceles triangle ABC has legs of length 24 and a vertex angle that measures 36. Determine the le of its base, BC, to the nearest tenth. A 36 24

Answer 1

In order to determine the angle of elevation, first write the given length of the tall of the boy and his shadow in inches.

Consider that 1 ft = 12 in, then:

for the tall of the boy

5ft = 5(12 in) = 60 in

then, the tall of the boy is:

5 ft 6 in = 60 in + 6 in = 66 in

for the shadow:

8ft = 8(12 in) = 96 in

then, the length of the shadow is:

8 ft 3 in = 96 in + 3 in = 99 in

Next, use the tangent of the missing angle to dete