matt is standing on top of a cliff 305 feet above a lake. the measurement of the angel of depression to a boat on the lake is 42 degrees. how far is the boat from Matt?

Distance of boat from Matt = 274.5 ft (Approx.)

Step-by-step explanation:

Given:

Height of cliff = 305 ft

Angle = 42°

Find:

Distance of boat from Matt

Computation:

Tan 42° = Distance of boat from Matt / Height of cliff

0.90 = Distance of boat from Matt / 305

Distance of boat from Matt = 274.5 ft (Approx.)

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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