Alamppost, cab, bent at point a after a storm. the tip of the lamppost touched the ground at point c, as shown below: triangle abc has measure of anglec equal to 45 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 12 what is the height, in feet, of the portion ab of the lamppost?

Given is a Right Triangle ABC with angle B = 90 degrees.

Given that side BC = 12 feet, and angle C = 45 degrees.

It says to find AB, the portion of broken lamp post.

Let's assume height AB = 'X' feet.

In the Right triangle ABC;

1. AB is opposite.

2. BC is adjacent.

3. Angle C = 45 degrees.

We know the formula for Tangent function is given as follows :-

Hence, the height of portion AB = 12·Tan(45°) feet.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98