Question

A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle

with the ground. How far up the building will it reach? Round your answer
to three decimal places.

Answer 1

7.193 ft

Explanation:

|\

| \

| \

| \

h | \ 10 ft

| \

| \

| 46° \

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For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.

sin A = opp/hyp

sin 46° = h/10

h = 10 sin 46°

h = 7.193

Answer: 7.193 ft