Question

On a trip to Washington, D.C., you and your friend are standing next to the Washington Monument. Your friend wants to buy a guide book to find out how tall the Washington Monument is, but will use the money to buy a snack to share instead if you can figure it out. If you know your own height, what two additional measurements must you know to solve the problem?(1 point)

the length of the shadow cast by the Washington Monument and the length of the shadow cast by the Lincoln Memorial

the length of your shadow and the length of your friend’s shadow

the length of your shadow and the length of the shadow cast by the Washington Monument

the length of your friend’s shadow and the length of the shadow cast by the Washington Monument

If a 30-foot tree casts an 18-foot shadow, find the length of the shadow cast by a 24-foot tree. (1 point)

14.4 feet

432 feet

22.5 feet

40 feet

In △ABC, m∠A=42°, m∠B=50°, AB=4, and AC=3. In △XYZ, m∠X=42°, m∠Z=88°, XY=14, and YZ=9.5. Find the measures of BC¯¯¯¯¯¯¯¯ and XZ¯¯¯¯¯¯¯¯. Round to one decimal place.(1 point)

BC=2, XZ=7.1

BC=2, XZ=10.5

BC=2.7, XZ=7.1

BC=2.7, XZ=10.5

Answer 1

1: The length of your shadow and the length of the shadow cast by the Washington Monument

2: 14.4

3: Yes, the triangles are similar.

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4: The solution for the value of x is incorrect because the proportion does use the ratios of corresponding sides

5:

Explanation:

Answer 2

1) the length of your shadow and the length of the shadow cast by the Washington Monument

2) 14.4 feet

3) BC=2.7, XZ=10.5

Explanation:

just too the quiz